Least Common Multiple of 97/74, 418/52, 513/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/74, 418/52, 513/896 quickly i.e. 547371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/74, 418/52, 513/896 is 547371.

LCM(97/74, 418/52, 513/896) = 547371

LCM of 97/74, 418/52, 513/896

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 97/74,418/52,513/896

Given numbers are 97/74,418/52,513/896

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 97,418,513

Least Common Multiple of Numerators i.e. LCM of 97,418,513 is 1094742.

GCF of Denominators means GCF of 74,52,896 as per the given fractions.

GCF of 74,52,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,418,513

LCM of Fractions 97/74,418/52,513/896 is 547371

19 97, 418, 513
97, 22, 27

∴ So the LCM of the given numbers is 19 x 97 x 22 x 27 = 1094742

Least Common Multiple of 97,418,513 with GCF Formula

Least Common Multiple of 97,418,513 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 97,418,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,418,513) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(97,418,513) x common factors =1 x 19 = 19

LCM(97,418,513) = ( 97 × 418 × 513 ) / 19

LCM(97,418,513) = 20800098 / 19

LCM(97,418,513) = 1094742


Lets's calculate GCF of 74,52,896

2 74, 52, 896
37, 26, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1094742/2

Therefore the LCM of Fractions 97/74,418/52,513/896 is 547371

Greatest Common Factor of 74,52,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,52,896 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 74,52,896 . The biggest common factor number is the GCF number.
So the greatest common factor 74,52,896 is 2.


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 97/74, 418/52, 513/896

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 97/74, 418/52, 513/896?

Answer: LCM of Numerators as per given numbers 97/74, 418/52, 513/896 is

LCM of Numerators i.e. for 97,418,513 is 1094742

GCF of denominators i.e. for 74,52,896 is 2.

Thus, LCM of Fractions is 547371.Finally, LCM of Fractions for 97/74, 418/52, 513/896 is 547371.