Least Common Multiple of 361, 364, 944, 451, 896

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 361, 364, 944, 451, 896 i.e. 111888929152 smallest integer divisible by all numbers.

Least common multiple (LCM) of 361, 364, 944, 451, 896 is 111888929152.

LCM(361, 364, 944, 451, 896) = 111888929152

LCM of 361, 364, 944, 451, 896

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

LCM of:

Least Common Multiple of 361,364,944,451,896

Least Common Multiple (LCM) of 361,364,944,451,896 is 111888929152

2 361, 364, 944, 451, 896
2 361, 182, 472, 451, 448
2 361, 91, 236, 451, 224
2 361, 91, 118, 451, 112
7 361, 91, 59, 451, 56
361, 13, 59, 451, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 361 x 13 x 59 x 451 x 8 = 111888929152

Least Common Multiple of 361,364,944,451,896 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 361,364,944,451,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,364,944,451,896) = 1

common factors(in case of two or more numbers have common factors) = 448

GCF(361,364,944,451,896) x common factors =1 x 448 = 448

LCM(361,364,944,451,896) = ( 361 × 364 × 944 × 451 × 896 ) / 448

LCM(361,364,944,451,896) = 50126240260096 / 448

LCM(361,364,944,451,896) = 111888929152

∴ Least Common Multiple of 361,364,944,451,896 is 111888929152

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 361, 364, 944, 451, 896

1. What is the LCM of 361, 364, 944, 451, 896?

Answer: LCM of 361, 364, 944, 451, 896 is 111888929152.

2. What are the Factors of 111888929152?

Answer: Factors of 111888929152 are . There are integers that are factors of 111888929152

3. How to Find the LCM of 361, 364, 944, 451, 896 ?

Least Common Multiple of 361, 364, 944, 451, 896.

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(361, 364, 944, 451, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 13 x 19 x 19 x 41 x 59 = 111888929152.