Least Common Multiple of 550, 975, 390, 218, 728

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 550, 975, 390, 218, 728 i.e. 65465400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 550, 975, 390, 218, 728 is 65465400.

LCM(550, 975, 390, 218, 728) = 65465400

LCM of 550, 975, 390, 218, 728

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

LCM of:

Least Common Multiple of 550,975,390,218,728

Least Common Multiple (LCM) of 550,975,390,218,728 is 65465400

2 550, 975, 390, 218, 728
3 275, 975, 195, 109, 364
5 275, 325, 65, 109, 364
5 55, 13, 65, 109, 364
13 11, 13, 13, 109, 364
11, 1, 1, 109, 28

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 11 x 1 x 1 x 109 x 28 = 65465400

Least Common Multiple of 550,975,390,218,728 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 550,975,390,218,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,975,390,218,728) = 1

common factors(in case of two or more numbers have common factors) = 507000

GCF(550,975,390,218,728) x common factors =1 x 507000 = 507000

LCM(550,975,390,218,728) = ( 550 × 975 × 390 × 218 × 728 ) / 507000

LCM(550,975,390,218,728) = 33190957800000 / 507000

LCM(550,975,390,218,728) = 65465400

∴ Least Common Multiple of 550,975,390,218,728 is 65465400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 550, 975, 390, 218, 728

1. What is the LCM of 550, 975, 390, 218, 728?

Answer: LCM of 550, 975, 390, 218, 728 is 65465400.

2. What are the Factors of 65465400?

Answer: Factors of 65465400 are . There are integers that are factors of 65465400

3. How to Find the LCM of 550, 975, 390, 218, 728 ?

Least Common Multiple of 550, 975, 390, 218, 728.

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(550, 975, 390, 218, 728) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 13 x 109 = 65465400.