Least Common Multiple of 20/96, 97/58, 854/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/96, 97/58, 854/726 quickly i.e. 414190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/96, 97/58, 854/726 is 414190.

LCM(20/96, 97/58, 854/726) = 414190

LCM of 20/96, 97/58, 854/726

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 20/96,97/58,854/726

Given numbers are 20/96,97/58,854/726

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 20,97,854

Least Common Multiple of Numerators i.e. LCM of 20,97,854 is 828380.

GCF of Denominators means GCF of 96,58,726 as per the given fractions.

GCF of 96,58,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,97,854

LCM of Fractions 20/96,97/58,854/726 is 414190

2 20, 97, 854
10, 97, 427

∴ So the LCM of the given numbers is 2 x 10 x 97 x 427 = 828380

Least Common Multiple of 20,97,854 with GCF Formula

Least Common Multiple of 20,97,854 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 20,97,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,97,854) = 1

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

GCF(20,97,854) x common factors =1 x 2 = 2

LCM(20,97,854) = ( 20 × 97 × 854 ) / 2

LCM(20,97,854) = 1656760 / 2

LCM(20,97,854) = 828380


Lets's calculate GCF of 96,58,726

2 96, 58, 726
48, 29, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828380/2

Therefore the LCM of Fractions 20/96,97/58,854/726 is 414190

Greatest Common Factor of 96,58,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,58,726 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 96,58,726 . The biggest common factor number is the GCF number.
So the greatest common factor 96,58,726 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 20/96, 97/58, 854/726

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 20/96, 97/58, 854/726?

Answer: LCM of Numerators as per given numbers 20/96, 97/58, 854/726 is

LCM of Numerators i.e. for 20,97,854 is 828380

GCF of denominators i.e. for 96,58,726 is 2.

Thus, LCM of Fractions is 414190.Finally, LCM of Fractions for 20/96, 97/58, 854/726 is 414190.