Least Common Multiple of 828, 195, 909, 896, 229

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 828, 195, 909, 896, 229 i.e. 278835822720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 828, 195, 909, 896, 229 is 278835822720.

LCM(828, 195, 909, 896, 229) = 278835822720

LCM of 828, 195, 909, 896, 229

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

LCM of:

Least Common Multiple of 828,195,909,896,229

Least Common Multiple (LCM) of 828,195,909,896,229 is 278835822720

2 828, 195, 909, 896, 229
2 414, 195, 909, 448, 229
3 207, 195, 909, 224, 229
3 69, 65, 303, 224, 229
23, 65, 101, 224, 229

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 23 x 65 x 101 x 224 x 229 = 278835822720

Least Common Multiple of 828,195,909,896,229 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 828,195,909,896,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,195,909,896,229) = 1

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

GCF(828,195,909,896,229) x common factors =1 x 108 = 108

LCM(828,195,909,896,229) = ( 828 × 195 × 909 × 896 × 229 ) / 108

LCM(828,195,909,896,229) = 30114268853760 / 108

LCM(828,195,909,896,229) = 278835822720

∴ Least Common Multiple of 828,195,909,896,229 is 278835822720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 828, 195, 909, 896, 229

1. What is the LCM of 828, 195, 909, 896, 229?

Answer: LCM of 828, 195, 909, 896, 229 is 278835822720.

2. What are the Factors of 278835822720?

Answer: Factors of 278835822720 are . There are integers that are factors of 278835822720

3. How to Find the LCM of 828, 195, 909, 896, 229 ?

Least Common Multiple of 828, 195, 909, 896, 229.

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(828, 195, 909, 896, 229) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 23 x 101 x 229 = 278835822720.