Least Common Multiple of 668/755, 498/580, 253/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/755, 498/580, 253/971 quickly i.e. 42081996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/755, 498/580, 253/971 is 42081996.

LCM(668/755, 498/580, 253/971) = 42081996

LCM of 668/755, 498/580, 253/971

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 668/755,498/580,253/971

Given numbers are 668/755,498/580,253/971

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 668,498,253

Least Common Multiple of Numerators i.e. LCM of 668,498,253 is 42081996.

GCF of Denominators means GCF of 755,580,971 as per the given fractions.

GCF of 755,580,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,498,253

LCM of Fractions 668/755,498/580,253/971 is 42081996

2 668, 498, 253
334, 249, 253

∴ So the LCM of the given numbers is 2 x 334 x 249 x 253 = 42081996

Least Common Multiple of 668,498,253 with GCF Formula

Least Common Multiple of 668,498,253 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 668,498,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,498,253) = 1

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

GCF(668,498,253) x common factors =1 x 2 = 2

LCM(668,498,253) = ( 668 × 498 × 253 ) / 2

LCM(668,498,253) = 84163992 / 2

LCM(668,498,253) = 42081996


Lets's calculate GCF of 755,580,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42081996/1

Therefore the LCM of Fractions 668/755,498/580,253/971 is 42081996

Greatest Common Factor of 755,580,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,580,971 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 755,580,971 . The biggest common factor number is the GCF number.
So the greatest common factor 755,580,971 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 668/755, 498/580, 253/971

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 668/755, 498/580, 253/971?

Answer: LCM of Numerators as per given numbers 668/755, 498/580, 253/971 is

LCM of Numerators i.e. for 668,498,253 is 42081996

GCF of denominators i.e. for 755,580,971 is 1.

Thus, LCM of Fractions is 42081996.Finally, LCM of Fractions for 668/755, 498/580, 253/971 is 42081996.