Least Common Multiple of 971/738, 257/779, 909/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/738, 257/779, 909/145 quickly i.e. 226838223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/738, 257/779, 909/145 is 226838223.

LCM(971/738, 257/779, 909/145) = 226838223

LCM of 971/738, 257/779, 909/145

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 971/738,257/779,909/145

Given numbers are 971/738,257/779,909/145

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 971,257,909

Least Common Multiple of Numerators i.e. LCM of 971,257,909 is 226838223.

GCF of Denominators means GCF of 738,779,145 as per the given fractions.

GCF of 738,779,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,257,909

LCM of Fractions 971/738,257/779,909/145 is 226838223

Given numbers has no common factors except 1. So, there LCM is their product i.e 226838223

Least Common Multiple of 971,257,909 with GCF Formula

Least Common Multiple of 971,257,909 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 971,257,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,257,909) = 1

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

GCF(971,257,909) x common factors =1 x 1 = 1

LCM(971,257,909) = ( 971 × 257 × 909 ) / 1

LCM(971,257,909) = 226838223 / 1

LCM(971,257,909) = 226838223


Lets's calculate GCF of 738,779,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226838223/1

Therefore the LCM of Fractions 971/738,257/779,909/145 is 226838223

Greatest Common Factor of 738,779,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,779,145 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 738,779,145 . The biggest common factor number is the GCF number.
So the greatest common factor 738,779,145 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 971/738, 257/779, 909/145

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 971/738, 257/779, 909/145?

Answer: LCM of Numerators as per given numbers 971/738, 257/779, 909/145 is

LCM of Numerators i.e. for 971,257,909 is 226838223

GCF of denominators i.e. for 738,779,145 is 1.

Thus, LCM of Fractions is 226838223.Finally, LCM of Fractions for 971/738, 257/779, 909/145 is 226838223.