Class 5 Exam > Class 5 Notes > Mathematics for Class 5 > Worksheet: HCF & LCM
HCF and LCM Class 5 Worksheet Maths
Q 1: Answer the following questions:
1. Write the first 3 multiples of 21.
2. Which of the following numbers are composite?
2, 7, 15, 27, 29, 37, 53, 69, 87.
Q 2: Write two prime numbers whose difference is 1.
Q 3: Write all composite numbers between 90 and 100.
Q 4: Which of the following pairs are coprime?
1. 18 and 30
2. 35 and 52
Q 5: Is it possible that a number is divisible by 8 but not divisible by 4?
Q 6: Which of these numbers are divisible by 3 or 4 or both?
1. 87,342
2. 23,148
Q 7: Test the divisibility of the following numbers by 3:
1. 90,82,746
2. 70,335
Q 8: Test the divisibility of the following numbers by 5:
1. 2,01,234
2. 4,37,839
Q 9: Test the divisibility of the following numbers by 9:
1. 3,478
2. 8,74,512
Q 10: Test the divisibility of the following numbers by 11:
1. 1,00,01,001
2. 5,335
Q 11: In each of the following numbers, replace * by the smallest number to make it divisible by 9:
1. 66784 *
2. 5321 * 43
Q 12: Test the divisibility of the following numbers by 4:
1. 7,314
2. 9,31,105
Q 13: Find the H.C.F. of:
1. 14 and 35
2. 15 and 35
3. 30, 75 and 90
4. 8 and 40
Q 14: Find all the common factors of:
1. 16 and 40
2. 18 and 45
3. 12 and 15
4. 52 and 117
Q 15: Find the L.C.M. of the following numbers:
1. 5 and 8
2. 4 and 9
3. 12 and 15
4. 26 and 15
5. 8, 10 and 12
6. 6 and 10
7. 9 and 11
Q 16: Write in the product form:
1. 24 × 52 × 32
2. 65 × 26 × 32
3. 67 × 105
4. 48
Q 17: Fill the vacant circles in each of the following factor trees.
Q 18: Find the HCF of the following numbers by long division method:
1. 40, 75
2. 24, 64
3. 27, 45
4. 81, 117
5. 18, 45, 36
6. 54, 96, 120
7. 70, 98, 154
Q 19: Find the L.C.M. by prime factorisation method:
1. 15 and 20
2. 24 and 36
3. 42 and 91
4. 50 and 105
5. 4, 36 and 52
6. 10, 35 and 40
7. 12 and 18
Q 20: Answer the following questions:
1. The HCF of two numbers is 19 and their LCM is 228. If one of the numbers is 57, find the other.
2. The product of two numbers is 25,024 and their H.C.F. is 8. Find their L.C.M.
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FAQs on HCF and LCM Class 5 Worksheet Maths
| 1. What is HCF and how is it different from LCM? |  |
Ans.HCF stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder. LCM stands for Lowest Common Multiple, which is the smallest number that is a multiple of two or more numbers. In simple terms, HCF is about finding common divisors, while LCM is about finding common multiples.
| 2. How can I find the HCF of two numbers? | |
Ans.To find the HCF of two numbers, you can use the prime factorization method or the division method. In the prime factorization method, you break down both numbers into their prime factors and multiply the common factors. In the division method, you divide the larger number by the smaller number and continue dividing until you reach a remainder of zero. The last divisor is the HCF.
| 3. What are some real-life examples of LCM? | |
Ans.Real-life examples of LCM include planning events that occur at regular intervals. For instance, if two friends meet every 6 days and 8 days respectively, the LCM of 6 and 8 (which is 24) tells us that they will meet again after 24 days. Another example is scheduling classes or activities that repeat every few days.
| 4. How do you calculate the LCM of two numbers? | |
Ans.To calculate the LCM of two numbers, you can use the prime factorization method or the listing multiples method. In the prime factorization method, you find the prime factors of both numbers, take the highest power of each prime factor, and multiply them together. In the listing multiples method, you list the multiples of both numbers and find the smallest common multiple.
| 5. Can HCF and LCM be calculated for more than two numbers? | |
Ans.Yes, both HCF and LCM can be calculated for more than two numbers. For HCF, you find the common factors among all the numbers and choose the highest one. For LCM, you can find the LCM of the first two numbers, then use that result to find the LCM with the next number, and continue this process until all numbers are included.
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