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Which of the following is the L.C.M. of 36 and 72?
- a)36
- b)72
- c)108
- d)2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Corr...
The prime factorization of 36 is: 2 x 2 x 3 x 3
The prime factorization of 72 is: 2 x 2 x 2 x 3 x 3
Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get LCM = 2 x 2 x 2 x 3 x 3 = 72
Most Upvoted Answer
Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Corr...
Solution:
To find the L.C.M. of 36 and 72, we can use the prime factorization method.
Prime factorization of 36:
36 = 2 × 2 × 3 × 3
Prime factorization of 72:
72 = 2 × 2 × 2 × 3 × 3
Now, we need to find the common factors of 36 and 72, and the highest power of each common factor.
Common factors of 36 and 72:
2, 3
Highest power of 2: 3
Highest power of 3: 2
Therefore, the L.C.M. of 36 and 72 is:
2³ × 3² = 72
Hence, option B is the correct answer.
To find the L.C.M. of 36 and 72, we can use the prime factorization method.
Prime factorization of 36:
36 = 2 × 2 × 3 × 3
Prime factorization of 72:
72 = 2 × 2 × 2 × 3 × 3
Now, we need to find the common factors of 36 and 72, and the highest power of each common factor.
Common factors of 36 and 72:
2, 3
Highest power of 2: 3
Highest power of 3: 2
Therefore, the L.C.M. of 36 and 72 is:
2³ × 3² = 72
Hence, option B is the correct answer.
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Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Corr...
Answer is 72
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Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Correct answer is option 'B'. Can you explain this answer? for Class 6 2026 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Correct answer is option 'B'. Can you explain this answer?.
Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Correct answer is option 'B'. Can you explain this answer? for Class 6 2026 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the L.C.M. of 36 and 72?a)36b)72c)108d)2Correct answer is option 'B'. Can you explain this answer?.
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