Least Common Multiple of 341, 132, 407, 728

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 341, 132, 407, 728 i.e. 27555528 smallest integer divisible by all numbers.

Least common multiple (LCM) of 341, 132, 407, 728 is 27555528.

LCM(341, 132, 407, 728) = 27555528

LCM of 341, 132, 407, 728

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 341,132,407,728

Least Common Multiple (LCM) of 341,132,407,728 is 27555528

2 341, 132, 407, 728
2 341, 66, 407, 364
11 341, 33, 407, 182
31, 3, 37, 182

∴ So the LCM of the given numbers is 2 x 2 x 11 x 31 x 3 x 37 x 182 = 27555528

Least Common Multiple of 341,132,407,728 with GCF Formula

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 341,132,407,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,132,407,728) = 1

common factors(in case of two or more numbers have common factors) = 484

GCF(341,132,407,728) x common factors =1 x 484 = 484

LCM(341,132,407,728) = ( 341 × 132 × 407 × 728 ) / 484

LCM(341,132,407,728) = 13336875552 / 484

LCM(341,132,407,728) = 27555528

∴ Least Common Multiple of 341,132,407,728 is 27555528

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 341, 132, 407, 728

1. What is the LCM of 341, 132, 407, 728?

Answer: LCM of 341, 132, 407, 728 is 27555528.

2. What are the Factors of 27555528?

Answer: Factors of 27555528 are . There are integers that are factors of 27555528

3. How to Find the LCM of 341, 132, 407, 728 ?

Least Common Multiple of 341, 132, 407, 728.

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(341, 132, 407, 728) = 2 x 2 x 2 x 3 x 7 x 11 x 13 x 31 x 37 = 27555528.