Least Common Multiple of 231/294, 455/159, 634/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/294, 455/159, 634/559 quickly i.e. 9519510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/294, 455/159, 634/559 is 9519510.

LCM(231/294, 455/159, 634/559) = 9519510

LCM of 231/294, 455/159, 634/559

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 231/294,455/159,634/559

Given numbers are 231/294,455/159,634/559

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 231,455,634

Least Common Multiple of Numerators i.e. LCM of 231,455,634 is 9519510.

GCF of Denominators means GCF of 294,159,559 as per the given fractions.

GCF of 294,159,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,455,634

LCM of Fractions 231/294,455/159,634/559 is 9519510

7 231, 455, 634
33, 65, 634

∴ So the LCM of the given numbers is 7 x 33 x 65 x 634 = 9519510

Least Common Multiple of 231,455,634 with GCF Formula

Least Common Multiple of 231,455,634 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 231,455,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,455,634) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(231,455,634) x common factors =1 x 7 = 7

LCM(231,455,634) = ( 231 × 455 × 634 ) / 7

LCM(231,455,634) = 66636570 / 7

LCM(231,455,634) = 9519510


Lets's calculate GCF of 294,159,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9519510/1

Therefore the LCM of Fractions 231/294,455/159,634/559 is 9519510

Greatest Common Factor of 294,159,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,159,559 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 294,159,559 . The biggest common factor number is the GCF number.
So the greatest common factor 294,159,559 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 231/294, 455/159, 634/559

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 231/294, 455/159, 634/559?

Answer: LCM of Numerators as per given numbers 231/294, 455/159, 634/559 is

LCM of Numerators i.e. for 231,455,634 is 9519510

GCF of denominators i.e. for 294,159,559 is 1.

Thus, LCM of Fractions is 9519510.Finally, LCM of Fractions for 231/294, 455/159, 634/559 is 9519510.