Least Common Multiple of 97/42, 736/91, 596/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/42, 736/91, 596/814 quickly i.e. 10637408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/42, 736/91, 596/814 is 10637408.

LCM(97/42, 736/91, 596/814) = 10637408

LCM of 97/42, 736/91, 596/814

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 97/42,736/91,596/814

Given numbers are 97/42,736/91,596/814

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 97,736,596

Least Common Multiple of Numerators i.e. LCM of 97,736,596 is 10637408.

GCF of Denominators means GCF of 42,91,814 as per the given fractions.

GCF of 42,91,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,736,596

LCM of Fractions 97/42,736/91,596/814 is 10637408

2 97, 736, 596
2 97, 368, 298
97, 184, 149

∴ So the LCM of the given numbers is 2 x 2 x 97 x 184 x 149 = 10637408

Least Common Multiple of 97,736,596 with GCF Formula

Least Common Multiple of 97,736,596 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 97,736,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,736,596) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(97,736,596) x common factors =1 x 4 = 4

LCM(97,736,596) = ( 97 × 736 × 596 ) / 4

LCM(97,736,596) = 42549632 / 4

LCM(97,736,596) = 10637408


Lets's calculate GCF of 42,91,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10637408/1

Therefore the LCM of Fractions 97/42,736/91,596/814 is 10637408

Greatest Common Factor of 42,91,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,91,814 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 42,91,814 . The biggest common factor number is the GCF number.
So the greatest common factor 42,91,814 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 97/42, 736/91, 596/814

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 97/42, 736/91, 596/814?

Answer: LCM of Numerators as per given numbers 97/42, 736/91, 596/814 is

LCM of Numerators i.e. for 97,736,596 is 10637408

GCF of denominators i.e. for 42,91,814 is 1.

Thus, LCM of Fractions is 10637408.Finally, LCM of Fractions for 97/42, 736/91, 596/814 is 10637408.