Least Common Multiple of 320/376, 421/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/376, 421/116 quickly i.e. 33680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/376, 421/116 is 33680.

LCM(320/376, 421/116) = 33680

LCM of 320/376, 421/116

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 320/376,421/116

Given numbers are 320/376,421/116

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 320,421

Least Common Multiple of Numerators i.e. LCM of 320,421 is 134720.

GCF of Denominators means GCF of 376,116 as per the given fractions.

GCF of 376,116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,421

LCM of Fractions 320/376,421/116 is 33680

Given numbers has no common factors except 1. So, there LCM is their product i.e 134720

Least Common Multiple of 320,421 with GCF Formula

Least Common Multiple of 320,421 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 320,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,421) = 1

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

GCF(320,421) x common factors =1 x 1 = 1

LCM(320,421) = ( 320 × 421 ) / 1

LCM(320,421) = 134720 / 1

LCM(320,421) = 134720


Lets's calculate GCF of 376,116

2 376, 116
2 188, 58
94, 29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134720/4

Therefore the LCM of Fractions 320/376,421/116 is 33680

Greatest Common Factor of 376,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,116 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 376,116 . The biggest common factor number is the GCF number.
So the greatest common factor 376,116 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 320/376, 421/116

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 320/376, 421/116?

Answer: LCM of Numerators as per given numbers 320/376, 421/116 is

LCM of Numerators i.e. for 320,421 is 134720

GCF of denominators i.e. for 376,116 is 4.

Thus, LCM of Fractions is 33680.Finally, LCM of Fractions for 320/376, 421/116 is 33680.