Least Common Multiple of 296, 492, 675, 880, 398

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 296, 492, 675, 880, 398 i.e. 35863700400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 296, 492, 675, 880, 398 is 35863700400.

LCM(296, 492, 675, 880, 398) = 35863700400

LCM of 296, 492, 675, 880, 398

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

LCM of:

Least Common Multiple of 296,492,675,880,398

Least Common Multiple (LCM) of 296,492,675,880,398 is 35863700400

2 296, 492, 675, 880, 398
2 148, 246, 675, 440, 199
2 74, 123, 675, 220, 199
3 37, 123, 675, 110, 199
5 37, 41, 225, 110, 199
37, 41, 45, 22, 199

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 37 x 41 x 45 x 22 x 199 = 35863700400

Least Common Multiple of 296,492,675,880,398 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 296,492,675,880,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,492,675,880,398) = 1

common factors(in case of two or more numbers have common factors) = 960

GCF(296,492,675,880,398) x common factors =1 x 960 = 960

LCM(296,492,675,880,398) = ( 296 × 492 × 675 × 880 × 398 ) / 960

LCM(296,492,675,880,398) = 34429152384000 / 960

LCM(296,492,675,880,398) = 35863700400

∴ Least Common Multiple of 296,492,675,880,398 is 35863700400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 296, 492, 675, 880, 398

1. What is the LCM of 296, 492, 675, 880, 398?

Answer: LCM of 296, 492, 675, 880, 398 is 35863700400.

2. What are the Factors of 35863700400?

Answer: Factors of 35863700400 are . There are integers that are factors of 35863700400

3. How to Find the LCM of 296, 492, 675, 880, 398 ?

Least Common Multiple of 296, 492, 675, 880, 398.

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(296, 492, 675, 880, 398) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 37 x 41 x 199 = 35863700400.