Least Common Multiple of 960, 945, 230, 516, 192

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, 945, 230, 516, 192 i.e. 59814720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 960, 945, 230, 516, 192 is 59814720.

LCM(960, 945, 230, 516, 192) = 59814720

LCM of 960, 945, 230, 516, 192

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

LCM of:

Least Common Multiple of 960,945,230,516,192

Least Common Multiple (LCM) of 960,945,230,516,192 is 59814720

2 960, 945, 230, 516, 192
2 480, 945, 115, 258, 96
2 240, 945, 115, 129, 48
2 120, 945, 115, 129, 24
2 60, 945, 115, 129, 12
2 30, 945, 115, 129, 6
3 15, 945, 115, 129, 3
5 5, 315, 115, 43, 1
1, 63, 23, 43, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 63 x 23 x 43 x 1 = 59814720

Least Common Multiple of 960,945,230,516,192 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 960,945,230,516,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,945,230,516,192) = 1

common factors(in case of two or more numbers have common factors) = 345600

GCF(960,945,230,516,192) x common factors =1 x 345600 = 345600

LCM(960,945,230,516,192) = ( 960 × 945 × 230 × 516 × 192 ) / 345600

LCM(960,945,230,516,192) = 20671967232000 / 345600

LCM(960,945,230,516,192) = 59814720

∴ Least Common Multiple of 960,945,230,516,192 is 59814720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 960, 945, 230, 516, 192

1. What is the LCM of 960, 945, 230, 516, 192?

Answer: LCM of 960, 945, 230, 516, 192 is 59814720.

2. What are the Factors of 59814720?

Answer: Factors of 59814720 are . There are integers that are factors of 59814720

3. How to Find the LCM of 960, 945, 230, 516, 192 ?

Least Common Multiple of 960, 945, 230, 516, 192.

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, 945, 230, 516, 192) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 43 = 59814720.