Least Common Multiple of 960, 912, 475, 882

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 960, 912, 475, 882 i.e. 13406400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 960, 912, 475, 882 is 13406400.

LCM(960, 912, 475, 882) = 13406400

LCM of 960, 912, 475, 882

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

LCM of:

Least Common Multiple of 960,912,475,882

Least Common Multiple (LCM) of 960,912,475,882 is 13406400

2 960, 912, 475, 882
2 480, 456, 475, 441
2 240, 228, 475, 441
2 120, 114, 475, 441
3 60, 57, 475, 441
5 20, 19, 475, 147
19 4, 19, 95, 147
4, 1, 5, 147

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 19 x 4 x 1 x 5 x 147 = 13406400

Least Common Multiple of 960,912,475,882 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 960,912,475,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,912,475,882) = 1

common factors(in case of two or more numbers have common factors) = 27360

GCF(960,912,475,882) x common factors =1 x 27360 = 27360

LCM(960,912,475,882) = ( 960 × 912 × 475 × 882 ) / 27360

LCM(960,912,475,882) = 366799104000 / 27360

LCM(960,912,475,882) = 13406400

∴ Least Common Multiple of 960,912,475,882 is 13406400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 960, 912, 475, 882

1. What is the LCM of 960, 912, 475, 882?

Answer: LCM of 960, 912, 475, 882 is 13406400.

2. What are the Factors of 13406400?

Answer: Factors of 13406400 are . There are integers that are factors of 13406400

3. How to Find the LCM of 960, 912, 475, 882 ?

Least Common Multiple of 960, 912, 475, 882.

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(960, 912, 475, 882) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 19 = 13406400.