Least Common Multiple of 96/553, 713/903, 842/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/553, 713/903, 842/294 quickly i.e. 28816608/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/553, 713/903, 842/294 is 28816608/7.

LCM(96/553, 713/903, 842/294) = 28816608/7

LCM of 96/553, 713/903, 842/294

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 96/553,713/903,842/294

Given numbers are 96/553,713/903,842/294

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 96,713,842

Least Common Multiple of Numerators i.e. LCM of 96,713,842 is 28816608.

GCF of Denominators means GCF of 553,903,294 as per the given fractions.

GCF of 553,903,294 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,713,842

LCM of Fractions 96/553,713/903,842/294 is 28816608/7

2 96, 713, 842
48, 713, 421

∴ So the LCM of the given numbers is 2 x 48 x 713 x 421 = 28816608

Least Common Multiple of 96,713,842 with GCF Formula

Least Common Multiple of 96,713,842 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 96,713,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,713,842) = 1

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

GCF(96,713,842) x common factors =1 x 2 = 2

LCM(96,713,842) = ( 96 × 713 × 842 ) / 2

LCM(96,713,842) = 57633216 / 2

LCM(96,713,842) = 28816608


Lets's calculate GCF of 553,903,294

7 553, 903, 294
79, 129, 42

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28816608/7

Therefore the LCM of Fractions 96/553,713/903,842/294 is 28816608/7

Greatest Common Factor of 553,903,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,903,294 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

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

Greatest Common Factor

We found the factors 553,903,294 . The biggest common factor number is the GCF number.
So the greatest common factor 553,903,294 is 7.


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 96/553, 713/903, 842/294

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 96/553, 713/903, 842/294?

Answer: LCM of Numerators as per given numbers 96/553, 713/903, 842/294 is

LCM of Numerators i.e. for 96,713,842 is 28816608

GCF of denominators i.e. for 553,903,294 is 7.

Thus, LCM of Fractions is 28816608/7.Finally, LCM of Fractions for 96/553, 713/903, 842/294 is 28816608/7.