Least Common Multiple of 97/240, 658/276, 892/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/240, 658/276, 892/579 quickly i.e. 28466396/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/240, 658/276, 892/579 is 28466396/3.

LCM(97/240, 658/276, 892/579) = 28466396/3

LCM of 97/240, 658/276, 892/579

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 97/240,658/276,892/579

Given numbers are 97/240,658/276,892/579

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 97,658,892

Least Common Multiple of Numerators i.e. LCM of 97,658,892 is 28466396.

GCF of Denominators means GCF of 240,276,579 as per the given fractions.

GCF of 240,276,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,658,892

LCM of Fractions 97/240,658/276,892/579 is 28466396/3

2 97, 658, 892
97, 329, 446

∴ So the LCM of the given numbers is 2 x 97 x 329 x 446 = 28466396

Least Common Multiple of 97,658,892 with GCF Formula

Least Common Multiple of 97,658,892 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 97,658,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,658,892) = 1

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

GCF(97,658,892) x common factors =1 x 2 = 2

LCM(97,658,892) = ( 97 × 658 × 892 ) / 2

LCM(97,658,892) = 56932792 / 2

LCM(97,658,892) = 28466396


Lets's calculate GCF of 240,276,579

3 240, 276, 579
80, 92, 193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28466396/3

Therefore the LCM of Fractions 97/240,658/276,892/579 is 28466396/3

Greatest Common Factor of 240,276,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,276,579 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 240,276,579 . The biggest common factor number is the GCF number.
So the greatest common factor 240,276,579 is 3.


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 97/240, 658/276, 892/579

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 97/240, 658/276, 892/579?

Answer: LCM of Numerators as per given numbers 97/240, 658/276, 892/579 is

LCM of Numerators i.e. for 97,658,892 is 28466396

GCF of denominators i.e. for 240,276,579 is 3.

Thus, LCM of Fractions is 28466396/3.Finally, LCM of Fractions for 97/240, 658/276, 892/579 is 28466396/3.