Least Common Multiple of 480, 855, 230, 741

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 480, 855, 230, 741 i.e. 8180640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 855, 230, 741 is 8180640.

LCM(480, 855, 230, 741) = 8180640

LCM of 480, 855, 230, 741

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

LCM of:

Least Common Multiple of 480,855,230,741

Least Common Multiple (LCM) of 480,855,230,741 is 8180640

2 480, 855, 230, 741
3 240, 855, 115, 741
5 80, 285, 115, 247
19 16, 57, 23, 247
16, 3, 23, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 16 x 3 x 23 x 13 = 8180640

Least Common Multiple of 480,855,230,741 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 480,855,230,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,855,230,741) = 1

common factors(in case of two or more numbers have common factors) = 8550

GCF(480,855,230,741) x common factors =1 x 8550 = 8550

LCM(480,855,230,741) = ( 480 × 855 × 230 × 741 ) / 8550

LCM(480,855,230,741) = 69944472000 / 8550

LCM(480,855,230,741) = 8180640

∴ Least Common Multiple of 480,855,230,741 is 8180640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 480, 855, 230, 741

1. What is the LCM of 480, 855, 230, 741?

Answer: LCM of 480, 855, 230, 741 is 8180640.

2. What are the Factors of 8180640?

Answer: Factors of 8180640 are . There are integers that are factors of 8180640

3. How to Find the LCM of 480, 855, 230, 741 ?

Least Common Multiple of 480, 855, 230, 741.

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(480, 855, 230, 741) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 23 = 8180640.