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What is the least common multiple of 4, 6 and 7?
  • a)
    42
  • b)
    48
  • c)
    56
  • d)
    84
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the least common multiple of 4, 6 and 7?a)42b)48c)56d)84Correc...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 
64, 68, 72, 76, 80, 84, 88, ... 
The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 
96, ...
The multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...
The least common multiple of 4, 6 and 7 is 84.
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Most Upvoted Answer
What is the least common multiple of 4, 6 and 7?a)42b)48c)56d)84Correc...


Calculating the Least Common Multiple (LCM) of 4, 6, and 7:

To find the least common multiple of 4, 6, and 7, we need to follow these steps:

Step 1: Prime Factorization
- Factorize each number into its prime factors:
- 4 = 2 x 2
- 6 = 2 x 3
- 7 = 7

Step 2: Identify Common and Unique Prime Factors
- Identify the common and unique prime factors among the numbers:
- Common: 2 (appears in both 4 and 6)
- Unique: 2, 3, 7

Step 3: Calculate LCM
- Multiply the common and unique prime factors to find the LCM:
LCM = 2 x 2 x 3 x 7 = 84

Therefore, the least common multiple of 4, 6, and 7 is 84. This means that 84 is the smallest number that is divisible by all three numbers without leaving a remainder.
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What is the least common multiple of 4, 6 and 7?a)42b)48c)56d)84Correc...
A
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