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The difference between the LCM and HCF of the numbers 30, 36 and 90 is
- a)168
- b)147
- c)186
- d)174
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The difference between the LCM and HCF of the numbers 30, 36 and 90 is...
30 = 2 × 3 × 5
36 = 2 × 2 × 3 × 3
90 = 2 × 3 × 3 × 5
L.C.M. = 2 × 2 × 3 × 3 × 5 = 180
H.C.F = 2 × 3 = 6
∴ Difference = 174
36 = 2 × 2 × 3 × 3
90 = 2 × 3 × 3 × 5
L.C.M. = 2 × 2 × 3 × 3 × 5 = 180
H.C.F = 2 × 3 = 6
∴ Difference = 174
Most Upvoted Answer
The difference between the LCM and HCF of the numbers 30, 36 and 90 is...
Solution:
To solve the problem, we need to find the LCM (Least Common Multiple) and HCF (Highest Common Factor) of the given numbers.
Step 1: Prime Factors
We need to find the prime factors of the given numbers.
30 = 2 × 3 × 5
36 = 2 × 2 × 3 × 3
90 = 2 × 3 × 3 × 5
Step 2: LCM
LCM is the product of all the prime factors of the given numbers with their highest powers.
LCM of 30, 36, and 90 = 2 × 2 × 3 × 3 × 5 = 180
Step 3: HCF
HCF is the product of the common prime factors of the given numbers with their lowest powers.
Common prime factors of 30, 36, and 90 = 2 × 3 = 6
HCF of 30, 36, and 90 = 6
Step 4: Difference
Difference between LCM and HCF = LCM - HCF = 180 - 6 = 174
Therefore, the correct answer is option D, 174.
To solve the problem, we need to find the LCM (Least Common Multiple) and HCF (Highest Common Factor) of the given numbers.
Step 1: Prime Factors
We need to find the prime factors of the given numbers.
30 = 2 × 3 × 5
36 = 2 × 2 × 3 × 3
90 = 2 × 3 × 3 × 5
Step 2: LCM
LCM is the product of all the prime factors of the given numbers with their highest powers.
LCM of 30, 36, and 90 = 2 × 2 × 3 × 3 × 5 = 180
Step 3: HCF
HCF is the product of the common prime factors of the given numbers with their lowest powers.
Common prime factors of 30, 36, and 90 = 2 × 3 = 6
HCF of 30, 36, and 90 = 6
Step 4: Difference
Difference between LCM and HCF = LCM - HCF = 180 - 6 = 174
Therefore, the correct answer is option D, 174.
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Community Answer
The difference between the LCM and HCF of the numbers 30, 36 and 90 is...
174
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The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer?
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The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer?.
The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the LCM and HCF of the numbers 30, 36 and 90 isa)168b)147c)186d)174Correct answer is option 'D'. Can you explain this answer?.
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