Least Common Multiple of 342, 4218
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 342, 4218 i.e. 12654 smallest integer divisible by all numbers.
Least common multiple (LCM) of 342, 4218 is 12654.
LCM(342, 4218) = 12654
LCM of 342, 4218
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 342, 4218 by common division method
- Least Common Multiple of 342, 4218 with GCF Formula
Least Common Multiple (LCM) of 342,4218 is 12654
| 2 | 342, 4218 |
| 3 | 171, 2109 |
| 19 | 57, 703 |
| 3, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 37 = 12654
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 342,4218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,4218) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(342,4218) x common factors =114 x 1 = 114
LCM(342,4218) = ( 342 × 4218 ) / 114
LCM(342,4218) = 1442556 / 114
LCM(342,4218) = 12654
∴ Least Common Multiple of 342,4218 is 12654
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Frequently Asked Questions on LCM of 342, 4218
1. What is the LCM of 342, 4218?
Answer: LCM of 342, 4218 is 12654.
2. What are the Factors of 12654?
Answer: Factors of 12654 are . There are integers that are factors of 12654
3. How to Find the LCM of 342, 4218 ?
Least Common Multiple of 342, 4218.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(342, 4218) = 2 x 3 x 3 x 19 x 37 = 12654.