Least Common Multiple of 120/76, 524/23, 567/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/76, 524/23, 567/664 quickly i.e. 2971080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/76, 524/23, 567/664 is 2971080.

LCM(120/76, 524/23, 567/664) = 2971080

LCM of 120/76, 524/23, 567/664

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 120/76,524/23,567/664

Given numbers are 120/76,524/23,567/664

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 120,524,567

Least Common Multiple of Numerators i.e. LCM of 120,524,567 is 2971080.

GCF of Denominators means GCF of 76,23,664 as per the given fractions.

GCF of 76,23,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,524,567

LCM of Fractions 120/76,524/23,567/664 is 2971080

2 120, 524, 567
2 60, 262, 567
3 30, 131, 567
10, 131, 189

∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 131 x 189 = 2971080

Least Common Multiple of 120,524,567 with GCF Formula

Least Common Multiple of 120,524,567 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 120,524,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,524,567) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(120,524,567) x common factors =1 x 12 = 12

LCM(120,524,567) = ( 120 × 524 × 567 ) / 12

LCM(120,524,567) = 35652960 / 12

LCM(120,524,567) = 2971080


Lets's calculate GCF of 76,23,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2971080/1

Therefore the LCM of Fractions 120/76,524/23,567/664 is 2971080

Greatest Common Factor of 76,23,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,23,664 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 76,23,664 . The biggest common factor number is the GCF number.
So the greatest common factor 76,23,664 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 120/76, 524/23, 567/664

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 120/76, 524/23, 567/664?

Answer: LCM of Numerators as per given numbers 120/76, 524/23, 567/664 is

LCM of Numerators i.e. for 120,524,567 is 2971080

GCF of denominators i.e. for 76,23,664 is 1.

Thus, LCM of Fractions is 2971080.Finally, LCM of Fractions for 120/76, 524/23, 567/664 is 2971080.