Least Common Multiple of 73/668, 759/455, 748/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/668, 759/455, 748/972 quickly i.e. 3767676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/668, 759/455, 748/972 is 3767676.

LCM(73/668, 759/455, 748/972) = 3767676

LCM of 73/668, 759/455, 748/972

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 73/668,759/455,748/972

Given numbers are 73/668,759/455,748/972

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 73,759,748

Least Common Multiple of Numerators i.e. LCM of 73,759,748 is 3767676.

GCF of Denominators means GCF of 668,455,972 as per the given fractions.

GCF of 668,455,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,759,748

LCM of Fractions 73/668,759/455,748/972 is 3767676

11 73, 759, 748
73, 69, 68

∴ So the LCM of the given numbers is 11 x 73 x 69 x 68 = 3767676

Least Common Multiple of 73,759,748 with GCF Formula

Least Common Multiple of 73,759,748 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 73,759,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,759,748) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(73,759,748) x common factors =1 x 11 = 11

LCM(73,759,748) = ( 73 × 759 × 748 ) / 11

LCM(73,759,748) = 41444436 / 11

LCM(73,759,748) = 3767676


Lets's calculate GCF of 668,455,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3767676/1

Therefore the LCM of Fractions 73/668,759/455,748/972 is 3767676

Greatest Common Factor of 668,455,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,455,972 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 668,455,972 . The biggest common factor number is the GCF number.
So the greatest common factor 668,455,972 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 73/668, 759/455, 748/972

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 73/668, 759/455, 748/972?

Answer: LCM of Numerators as per given numbers 73/668, 759/455, 748/972 is

LCM of Numerators i.e. for 73,759,748 is 3767676

GCF of denominators i.e. for 668,455,972 is 1.

Thus, LCM of Fractions is 3767676.Finally, LCM of Fractions for 73/668, 759/455, 748/972 is 3767676.