Least Common Multiple of 120/164, 5968/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/164, 5968/676 quickly i.e. 22380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/164, 5968/676 is 22380.

LCM(120/164, 5968/676) = 22380

LCM of 120/164, 5968/676

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 120/164,5968/676

Given numbers are 120/164,5968/676

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 120,5968

Least Common Multiple of Numerators i.e. LCM of 120,5968 is 89520.

GCF of Denominators means GCF of 164,676 as per the given fractions.

GCF of 164,676 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,5968

LCM of Fractions 120/164,5968/676 is 22380

2 120, 5968
2 60, 2984
2 30, 1492
15, 746

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 746 = 89520

Least Common Multiple of 120,5968 with GCF Formula

Least Common Multiple of 120,5968 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 120,5968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,5968) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(120,5968) x common factors =8 x 1 = 8

LCM(120,5968) = ( 120 × 5968 ) / 8

LCM(120,5968) = 716160 / 8

LCM(120,5968) = 89520


Lets's calculate GCF of 164,676

2 164, 676
2 82, 338
41, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89520/4

Therefore the LCM of Fractions 120/164,5968/676 is 22380

Greatest Common Factor of 164,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,676 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 164,676 . The biggest common factor number is the GCF number.
So the greatest common factor 164,676 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 120/164, 5968/676

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 120/164, 5968/676?

Answer: LCM of Numerators as per given numbers 120/164, 5968/676 is

LCM of Numerators i.e. for 120,5968 is 89520

GCF of denominators i.e. for 164,676 is 4.

Thus, LCM of Fractions is 22380.Finally, LCM of Fractions for 120/164, 5968/676 is 22380.