Least Common Multiple of 966, 195, 224, 827, 920

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 966, 195, 224, 827, 920 i.e. 830837280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 195, 224, 827, 920 is 830837280.

LCM(966, 195, 224, 827, 920) = 830837280

LCM of 966, 195, 224, 827, 920

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

LCM of:

Least Common Multiple of 966,195,224,827,920

Least Common Multiple (LCM) of 966,195,224,827,920 is 830837280

2 966, 195, 224, 827, 920
2 483, 195, 112, 827, 460
2 483, 195, 56, 827, 230
3 483, 195, 28, 827, 115
5 161, 65, 28, 827, 115
7 161, 13, 28, 827, 23
23 23, 13, 4, 827, 23
1, 13, 4, 827, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 23 x 1 x 13 x 4 x 827 x 1 = 830837280

Least Common Multiple of 966,195,224,827,920 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 966,195,224,827,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,195,224,827,920) = 1

common factors(in case of two or more numbers have common factors) = 38640

GCF(966,195,224,827,920) x common factors =1 x 38640 = 38640

LCM(966,195,224,827,920) = ( 966 × 195 × 224 × 827 × 920 ) / 38640

LCM(966,195,224,827,920) = 32103552499200 / 38640

LCM(966,195,224,827,920) = 830837280

∴ Least Common Multiple of 966,195,224,827,920 is 830837280

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 966, 195, 224, 827, 920

1. What is the LCM of 966, 195, 224, 827, 920?

Answer: LCM of 966, 195, 224, 827, 920 is 830837280.

2. What are the Factors of 830837280?

Answer: Factors of 830837280 are . There are integers that are factors of 830837280

3. How to Find the LCM of 966, 195, 224, 827, 920 ?

Least Common Multiple of 966, 195, 224, 827, 920.

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(966, 195, 224, 827, 920) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 23 x 827 = 830837280.