Least Common Multiple of 75/648, 90/924, 939/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/648, 90/924, 939/849 quickly i.e. 46950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/648, 90/924, 939/849 is 46950.

LCM(75/648, 90/924, 939/849) = 46950

LCM of 75/648, 90/924, 939/849

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 75/648,90/924,939/849

Given numbers are 75/648,90/924,939/849

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 75,90,939

Least Common Multiple of Numerators i.e. LCM of 75,90,939 is 140850.

GCF of Denominators means GCF of 648,924,849 as per the given fractions.

GCF of 648,924,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,90,939

LCM of Fractions 75/648,90/924,939/849 is 46950

3 75, 90, 939
5 25, 30, 313
5, 6, 313

∴ So the LCM of the given numbers is 3 x 5 x 5 x 6 x 313 = 140850

Least Common Multiple of 75,90,939 with GCF Formula

Least Common Multiple of 75,90,939 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 75,90,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,90,939) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(75,90,939) x common factors =3 x 15 = 45

LCM(75,90,939) = ( 75 × 90 × 939 ) / 45

LCM(75,90,939) = 6338250 / 45

LCM(75,90,939) = 140850


Lets's calculate GCF of 648,924,849

3 648, 924, 849
216, 308, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140850/3

Therefore the LCM of Fractions 75/648,90/924,939/849 is 46950

Greatest Common Factor of 648,924,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,924,849 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 648,924,849 . The biggest common factor number is the GCF number.
So the greatest common factor 648,924,849 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 75/648, 90/924, 939/849

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 75/648, 90/924, 939/849?

Answer: LCM of Numerators as per given numbers 75/648, 90/924, 939/849 is

LCM of Numerators i.e. for 75,90,939 is 140850

GCF of denominators i.e. for 648,924,849 is 3.

Thus, LCM of Fractions is 46950.Finally, LCM of Fractions for 75/648, 90/924, 939/849 is 46950.