Least Common Multiple of 157/909, 302/785, 104/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/909, 302/785, 104/973 quickly i.e. 2465528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/909, 302/785, 104/973 is 2465528.

LCM(157/909, 302/785, 104/973) = 2465528

LCM of 157/909, 302/785, 104/973

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 157/909,302/785,104/973

Given numbers are 157/909,302/785,104/973

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 157,302,104

Least Common Multiple of Numerators i.e. LCM of 157,302,104 is 2465528.

GCF of Denominators means GCF of 909,785,973 as per the given fractions.

GCF of 909,785,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,302,104

LCM of Fractions 157/909,302/785,104/973 is 2465528

2 157, 302, 104
157, 151, 52

∴ So the LCM of the given numbers is 2 x 157 x 151 x 52 = 2465528

Least Common Multiple of 157,302,104 with GCF Formula

Least Common Multiple of 157,302,104 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 157,302,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,302,104) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(157,302,104) x common factors =1 x 2 = 2

LCM(157,302,104) = ( 157 × 302 × 104 ) / 2

LCM(157,302,104) = 4931056 / 2

LCM(157,302,104) = 2465528


Lets's calculate GCF of 909,785,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2465528/1

Therefore the LCM of Fractions 157/909,302/785,104/973 is 2465528

Greatest Common Factor of 909,785,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,785,973 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 909,785,973 . The biggest common factor number is the GCF number.
So the greatest common factor 909,785,973 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 157/909, 302/785, 104/973

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 157/909, 302/785, 104/973?

Answer: LCM of Numerators as per given numbers 157/909, 302/785, 104/973 is

LCM of Numerators i.e. for 157,302,104 is 2465528

GCF of denominators i.e. for 909,785,973 is 1.

Thus, LCM of Fractions is 2465528.Finally, LCM of Fractions for 157/909, 302/785, 104/973 is 2465528.