Least Common Multiple of 754, 240, 154, 161, 585

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 754, 240, 154, 161, 585 i.e. 480720240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 754, 240, 154, 161, 585 is 480720240.

LCM(754, 240, 154, 161, 585) = 480720240

LCM of 754, 240, 154, 161, 585

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

LCM of:

Least Common Multiple of 754,240,154,161,585

Least Common Multiple (LCM) of 754,240,154,161,585 is 480720240

2 754, 240, 154, 161, 585
3 377, 120, 77, 161, 585
5 377, 40, 77, 161, 195
7 377, 8, 77, 161, 39
13 377, 8, 11, 23, 39
29, 8, 11, 23, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 13 x 29 x 8 x 11 x 23 x 3 = 480720240

Least Common Multiple of 754,240,154,161,585 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 754,240,154,161,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,240,154,161,585) = 1

common factors(in case of two or more numbers have common factors) = 5460

GCF(754,240,154,161,585) x common factors =1 x 5460 = 5460

LCM(754,240,154,161,585) = ( 754 × 240 × 154 × 161 × 585 ) / 5460

LCM(754,240,154,161,585) = 2624732510400 / 5460

LCM(754,240,154,161,585) = 480720240

∴ Least Common Multiple of 754,240,154,161,585 is 480720240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 754, 240, 154, 161, 585

1. What is the LCM of 754, 240, 154, 161, 585?

Answer: LCM of 754, 240, 154, 161, 585 is 480720240.

2. What are the Factors of 480720240?

Answer: Factors of 480720240 are . There are integers that are factors of 480720240

3. How to Find the LCM of 754, 240, 154, 161, 585 ?

Least Common Multiple of 754, 240, 154, 161, 585.

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(754, 240, 154, 161, 585) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 23 x 29 = 480720240.