Least Common Multiple of 147/256, 5231/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/256, 5231/380 quickly i.e. 768957/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/256, 5231/380 is 768957/4.

LCM(147/256, 5231/380) = 768957/4

LCM of 147/256, 5231/380

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 147/256,5231/380

Given numbers are 147/256,5231/380

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 147,5231

Least Common Multiple of Numerators i.e. LCM of 147,5231 is 768957.

GCF of Denominators means GCF of 256,380 as per the given fractions.

GCF of 256,380 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,5231

LCM of Fractions 147/256,5231/380 is 768957/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 768957

Least Common Multiple of 147,5231 with GCF Formula

Least Common Multiple of 147,5231 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 147,5231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,5231) = 1

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

GCF(147,5231) x common factors =1 x 1 = 1

LCM(147,5231) = ( 147 × 5231 ) / 1

LCM(147,5231) = 768957 / 1

LCM(147,5231) = 768957


Lets's calculate GCF of 256,380

2 256, 380
2 128, 190
64, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768957/4

Therefore the LCM of Fractions 147/256,5231/380 is 768957/4

Greatest Common Factor of 256,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,380 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 256,380 . The biggest common factor number is the GCF number.
So the greatest common factor 256,380 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 147/256, 5231/380

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 147/256, 5231/380?

Answer: LCM of Numerators as per given numbers 147/256, 5231/380 is

LCM of Numerators i.e. for 147,5231 is 768957

GCF of denominators i.e. for 256,380 is 4.

Thus, LCM of Fractions is 768957/4.Finally, LCM of Fractions for 147/256, 5231/380 is 768957/4.