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139 LearnersLast updated on November 30th, 2024
LCM of 12 and 28
LCM is the smallest multiple of two numbers. In day to day life, LCM is used for setting alarms, synchronizing traffic lights and making music. In this article, we will learn about the LCM of 12 and 28.
What is the LCM of 12 and 28?
The LCM of 12 and 28 is 84.
Let us learn how to find and apply it.
How to find the LCM of 12 and 28?
We can find the LCM of 12 and 28 using,
- Listing multiples method
- Prime factorization method
- Division method
LCM of 12 and 28 using the Listing multiple method
In this method, we just list down the multiples of the numbers till we land at the first common multiple, which is the smallest multiple or the LCM of the numbers.
In the case of 12 and 28,
12=12, 24, 36, 48, 60,72, 84, 96, 108…
28=28, 56, 84, 112, 140…
LCM(12,28) = 84
LCM of 12 and 28 using the prime factorization method
The numbers are factored, and their highest powers are multiplied to find the LCM Prime factorized of -
12= 2×2×3
28=2x2x7
LCM(12,28) = 84
LCM of 12 and 28 using the division method
Follow these steps to find LCM using this method;
1.Write the numbers in row
2.Proceed with dividing the numbers with a factor that can be divisible by at least one of the numbers.
3.Carry forward the numbers that haven’t been divided earlier
4.Continue division till the remainder is 1
5.Multiply the divisors in the first column to find the LCM
6.LCM (12,28) = 84
Common mistakes and how to avoid them while finding the LCM of 12 and 28
LCM of 12 and 28 Examples
Problem 1
Basic calculation of LCM of 12 and 28
Explanation
Problem 2
The least common multiple of number 12 and another number is 84. One of the numbers is given as 28. Find the missing number?
Explanation
Problem 3
To check the Relationship Between LCM and GCD of 12 and 84
Explanation
FAQs for LCM of 12 and 28
1.What is the common factor of 12 and 28?
2.How to find LCM of 12 and 28?
3.What is the LCM of 21 and 28?
4.What is the LCM of 12 and 18?
5.What is the LCM of 28 12 and 16?
Important Glossaries for LCM of 12 and 28
- Multiple: Product of a number and a natural integer.
- Prime Factor : Number one gets after factorization any given number
- Prime factorization Problem: Based Formula
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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.
Fun Fact
: She loves to read number jokes and games.
