Least Common Multiple of 76/456, 23/968, 124/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/456, 23/968, 124/332 quickly i.e. 13547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/456, 23/968, 124/332 is 13547.

LCM(76/456, 23/968, 124/332) = 13547

LCM of 76/456, 23/968, 124/332

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 76/456,23/968,124/332

Given numbers are 76/456,23/968,124/332

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 76,23,124

Least Common Multiple of Numerators i.e. LCM of 76,23,124 is 54188.

GCF of Denominators means GCF of 456,968,332 as per the given fractions.

GCF of 456,968,332 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,23,124

LCM of Fractions 76/456,23/968,124/332 is 13547

2 76, 23, 124
2 38, 23, 62
19, 23, 31

∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 31 = 54188

Least Common Multiple of 76,23,124 with GCF Formula

Least Common Multiple of 76,23,124 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 76,23,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,23,124) = 1

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

GCF(76,23,124) x common factors =1 x 4 = 4

LCM(76,23,124) = ( 76 × 23 × 124 ) / 4

LCM(76,23,124) = 216752 / 4

LCM(76,23,124) = 54188


Lets's calculate GCF of 456,968,332

2 456, 968, 332
2 228, 484, 166
114, 242, 83

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54188/4

Therefore the LCM of Fractions 76/456,23/968,124/332 is 13547

Greatest Common Factor of 456,968,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,968,332 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 456,968,332 . The biggest common factor number is the GCF number.
So the greatest common factor 456,968,332 is 4.


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 76/456, 23/968, 124/332

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 76/456, 23/968, 124/332?

Answer: LCM of Numerators as per given numbers 76/456, 23/968, 124/332 is

LCM of Numerators i.e. for 76,23,124 is 54188

GCF of denominators i.e. for 456,968,332 is 4.

Thus, LCM of Fractions is 13547.Finally, LCM of Fractions for 76/456, 23/968, 124/332 is 13547.