What is the LCM of 42 and 54?

What is the LCM of 42 and 54? The answer is 378. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

How do I solve what is the lcm of 42 and 54??

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What is LCM of 42, 54 | Prime factorisation, common factor

Prime Factorization Method

There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.

Find the prime factorization of each number:

42 = 2, 3, 7

54 = 2, 3, 3, 3

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^3 × 7^1$
To find LCM multiply these highest powers: LCM(42, 54) = $2^1 × 3^3 × 7^1$ = 378

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Animated step-by-step solution for 42 lcm 54

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This animated solution addresses a critical gap in mathematics education: while teachers can demonstrate a few examples in class, students often struggle when practicing problems with different numbers at home. Our step-by-step animation for 42 lcm 54 provides instant, visual support for this EXACT problem - not just similar ones. This specificity is crucial for building confidence and understanding, especially for visual learners who need to see the process, not just read about it.

Step-by-step breakdown: Our animation breaks down 42 lcm 54 into clear, sequential steps that build understanding from foundation to solution.

Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 42 and 54 using the method of listing common multiples, follow these steps:

List some multiples of each number.
Identify the smallest multiple that is common to both lists.

Multiples of 42

42, 84, 126, 168, 210, 252, 294, 336, 378, 420,…

Multiples of 54

54, 108, 162, 216, 270, 324, 378, 432, 486, 540,…

Common multiples

Identify the common multiples from the lists above: 378,…

The smallest common multiple is 378.

The LCM of 42 and 54 using the common multiples method is 378.

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🌍 Real-World Example

Real-world example for 42 lcm 54

Teaching Tip

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🔗 Related Concept

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📚 Difficulty Level: Grade 3-5: Upper Elementary

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What is the LCM of 42 and 54?

Answer: The LCM of 42 and 54 is 378