Least Common Multiple of 352, 476, 381, 873, 549

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 352, 476, 381, 873, 549 i.e. 283294031328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 352, 476, 381, 873, 549 is 283294031328.

LCM(352, 476, 381, 873, 549) = 283294031328

LCM of 352, 476, 381, 873, 549

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

LCM of:

Least Common Multiple of 352,476,381,873,549

Least Common Multiple (LCM) of 352,476,381,873,549 is 283294031328

2 352, 476, 381, 873, 549
2 176, 238, 381, 873, 549
3 88, 119, 381, 873, 549
3 88, 119, 127, 291, 183
88, 119, 127, 97, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 88 x 119 x 127 x 97 x 61 = 283294031328

Least Common Multiple of 352,476,381,873,549 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 352,476,381,873,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,476,381,873,549) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(352,476,381,873,549) x common factors =1 x 108 = 108

LCM(352,476,381,873,549) = ( 352 × 476 × 381 × 873 × 549 ) / 108

LCM(352,476,381,873,549) = 30595755383424 / 108

LCM(352,476,381,873,549) = 283294031328

∴ Least Common Multiple of 352,476,381,873,549 is 283294031328

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 352, 476, 381, 873, 549

1. What is the LCM of 352, 476, 381, 873, 549?

Answer: LCM of 352, 476, 381, 873, 549 is 283294031328.

2. What are the Factors of 283294031328?

Answer: Factors of 283294031328 are . There are integers that are factors of 283294031328

3. How to Find the LCM of 352, 476, 381, 873, 549 ?

Least Common Multiple of 352, 476, 381, 873, 549.

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(352, 476, 381, 873, 549) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 61 x 97 x 127 = 283294031328.