Least Common Multiple of 76/96, 13/419, 120/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/96, 13/419, 120/475 quickly i.e. 29640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/96, 13/419, 120/475 is 29640.

LCM(76/96, 13/419, 120/475) = 29640

LCM of 76/96, 13/419, 120/475

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 76/96,13/419,120/475

Given numbers are 76/96,13/419,120/475

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 76,13,120

Least Common Multiple of Numerators i.e. LCM of 76,13,120 is 29640.

GCF of Denominators means GCF of 96,419,475 as per the given fractions.

GCF of 96,419,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,13,120

LCM of Fractions 76/96,13/419,120/475 is 29640

2 76, 13, 120
2 38, 13, 60
19, 13, 30

∴ So the LCM of the given numbers is 2 x 2 x 19 x 13 x 30 = 29640

Least Common Multiple of 76,13,120 with GCF Formula

Least Common Multiple of 76,13,120 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 76,13,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,13,120) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,13,120) x common factors =1 x 4 = 4

LCM(76,13,120) = ( 76 × 13 × 120 ) / 4

LCM(76,13,120) = 118560 / 4

LCM(76,13,120) = 29640


Lets's calculate GCF of 96,419,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29640/1

Therefore the LCM of Fractions 76/96,13/419,120/475 is 29640

Greatest Common Factor of 96,419,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,419,475 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 96,419,475 . The biggest common factor number is the GCF number.
So the greatest common factor 96,419,475 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 76/96, 13/419, 120/475

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 76/96, 13/419, 120/475?

Answer: LCM of Numerators as per given numbers 76/96, 13/419, 120/475 is

LCM of Numerators i.e. for 76,13,120 is 29640

GCF of denominators i.e. for 96,419,475 is 1.

Thus, LCM of Fractions is 29640.Finally, LCM of Fractions for 76/96, 13/419, 120/475 is 29640.