Least Common Multiple of 846, 342
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 846, 342 i.e. 16074 smallest integer divisible by all numbers.
Least common multiple (LCM) of 846, 342 is 16074.
LCM(846, 342) = 16074
LCM of 846, 342
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 846, 342 by common division method
- Least Common Multiple of 846, 342 with GCF Formula
Least Common Multiple (LCM) of 846,342 is 16074
| 2 | 846, 342 |
| 3 | 423, 171 |
| 3 | 141, 57 |
| 47, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 19 = 16074
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 846,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,342) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(846,342) x common factors =18 x 1 = 18
LCM(846,342) = ( 846 × 342 ) / 18
LCM(846,342) = 289332 / 18
LCM(846,342) = 16074
∴ Least Common Multiple of 846,342 is 16074
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Frequently Asked Questions on LCM of 846, 342
1. What is the LCM of 846, 342?
Answer: LCM of 846, 342 is 16074.
2. What are the Factors of 16074?
Answer: Factors of 16074 are . There are integers that are factors of 16074
3. How to Find the LCM of 846, 342 ?
Least Common Multiple of 846, 342.
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(846, 342) = 2 x 3 x 3 x 19 x 47 = 16074.
