Least Common Multiple of 624/596, 887/189, 296/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/596, 887/189, 296/564 quickly i.e. 20479056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/596, 887/189, 296/564 is 20479056.

LCM(624/596, 887/189, 296/564) = 20479056

LCM of 624/596, 887/189, 296/564

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 624/596,887/189,296/564

Given numbers are 624/596,887/189,296/564

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 624,887,296

Least Common Multiple of Numerators i.e. LCM of 624,887,296 is 20479056.

GCF of Denominators means GCF of 596,189,564 as per the given fractions.

GCF of 596,189,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,887,296

LCM of Fractions 624/596,887/189,296/564 is 20479056

2 624, 887, 296
2 312, 887, 148
2 156, 887, 74
78, 887, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 78 x 887 x 37 = 20479056

Least Common Multiple of 624,887,296 with GCF Formula

Least Common Multiple of 624,887,296 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 624,887,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,887,296) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(624,887,296) x common factors =1 x 8 = 8

LCM(624,887,296) = ( 624 × 887 × 296 ) / 8

LCM(624,887,296) = 163832448 / 8

LCM(624,887,296) = 20479056


Lets's calculate GCF of 596,189,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20479056/1

Therefore the LCM of Fractions 624/596,887/189,296/564 is 20479056

Greatest Common Factor of 596,189,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,189,564 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 596,189,564 . The biggest common factor number is the GCF number.
So the greatest common factor 596,189,564 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 624/596, 887/189, 296/564

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 624/596, 887/189, 296/564?

Answer: LCM of Numerators as per given numbers 624/596, 887/189, 296/564 is

LCM of Numerators i.e. for 624,887,296 is 20479056

GCF of denominators i.e. for 596,189,564 is 1.

Thus, LCM of Fractions is 20479056.Finally, LCM of Fractions for 624/596, 887/189, 296/564 is 20479056.