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Last updated on November 29th, 2024

LCM of 21 and 24

Q: There are how many factors in 4800?

There are 42 factors of 3600, but the prime factors are 26,3,52.

Q: Write the LCM of 21,24, and 18?

Prime factorization of 21 = 7×3 Prime factorization of 24 = 23×3 Prime Factorization of 18 =2×32 LCM (12,24,18) = 32×23×7 = 504

Q: What is the GCF of 300 by factor tree method?

The GCF is the greatest common factor of the number. The factors are 2,3 and 5.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

The meaning of least common factor (LCM) is to find the smallest number that divides any two integers evenly. LCM is used mainly in fractions to find a common number for both the integers. We use LCM for solving problems, lining up cycles or even synchronizing of events, also to schedule tasks in everyday life.

What is the LCM of 21 and 24?

We use LCM of 21 and 24 to find the smallest number that divides both the numbers equally. The smallest positive number is the number that divides both numbers equally, is 168 without leaving any remainder. LCM is used mainly in fractions to find a common number for both the integers.

How to find the LCM of 21 and 24?

The LCM of 21 and 24 can be found by the following methods like division method, listing multiples, prime factorization.

LCM of 21 and 24 using Division method:

In division method, we divide both the numbers, we begin with dividing side by side the smallest number. We continue dividing until we get a common number that divides both the numbers equally. It makes it easier for the children to focus on prime factors and identify them.

2 divides 24 and not 21

3 divides 24 and 21

12 divides 24 and not 21

7 divides 21 and not 24.

Now multiply the divisors : 2×3×4×7=168 which is the LCM.

LCM of 24 and 21 using Listing multiples:

Step 1: Start by listing multiples of both the numbers separately:

Multiples of 21 are 21,42,63,84,105,126,147,168…..

Multiples of 24 are 24,48,72,96120,144,168…..

Step 2: The least common factor from the list is 168. Therefore, the LCM of 24 and 21 is 168.

LCM of 24 and 21 using Prime factorization:

We part both the numbers unto factors:

Factor of 24: 2³×3

Factors of 21: 3×7

Take the powers of both the numbers and multiply together:

LCM=2³x3x7=168.

Common Mistakes and How to Avoid Them in LCM of 24 and 21

LCM of 24 and 21 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is 504 a common multiple of 24 and 21?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Simplify the fraction 24/21 using the GCD of the numerator and denominator.

Explanation

Problem 3

List the first 5 multiples of 24 and 21. Identify the LCM from these lists.

Explanation

Problem 4

Find the value of X, if LCM(24,X)=168.

Explanation

Problem 5

Find the simplified form of 24/21.

Explanation

FAQ’s on LCM of 24 and 21

1. What is the number that can be divided by 21 and 24?

2.There are how many factors in 4800?

3.Write the LCM of 21,24, and 18?

4.What is the GCF of 240 and 360?

5.What is the GCF of 300 by factor tree method?

Important glossaries on the LCM of 24 and 21

Prime Factor: A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.

Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2×7.

Co-prime numbers: numbers which has the only positive divisor of them both as 1. For example, 6 and 7.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.