Least Common Multiple of 532/618, 320/417, 650/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/618, 320/417, 650/292 quickly i.e. 2766400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/618, 320/417, 650/292 is 2766400.

LCM(532/618, 320/417, 650/292) = 2766400

LCM of 532/618, 320/417, 650/292

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 532/618,320/417,650/292

Given numbers are 532/618,320/417,650/292

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 532,320,650

Least Common Multiple of Numerators i.e. LCM of 532,320,650 is 2766400.

GCF of Denominators means GCF of 618,417,292 as per the given fractions.

GCF of 618,417,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,320,650

LCM of Fractions 532/618,320/417,650/292 is 2766400

2 532, 320, 650
2 266, 160, 325
5 133, 80, 325
133, 16, 65

∴ So the LCM of the given numbers is 2 x 2 x 5 x 133 x 16 x 65 = 2766400

Least Common Multiple of 532,320,650 with GCF Formula

Least Common Multiple of 532,320,650 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 532,320,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,320,650) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(532,320,650) x common factors =2 x 20 = 40

LCM(532,320,650) = ( 532 × 320 × 650 ) / 40

LCM(532,320,650) = 110656000 / 40

LCM(532,320,650) = 2766400


Lets's calculate GCF of 618,417,292

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2766400/1

Therefore the LCM of Fractions 532/618,320/417,650/292 is 2766400

Greatest Common Factor of 618,417,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,417,292 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 618,417,292 . The biggest common factor number is the GCF number.
So the greatest common factor 618,417,292 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 532/618, 320/417, 650/292

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 532/618, 320/417, 650/292?

Answer: LCM of Numerators as per given numbers 532/618, 320/417, 650/292 is

LCM of Numerators i.e. for 532,320,650 is 2766400

GCF of denominators i.e. for 618,417,292 is 1.

Thus, LCM of Fractions is 2766400.Finally, LCM of Fractions for 532/618, 320/417, 650/292 is 2766400.