Least Common Multiple of 90/638, 23/856, 723/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/638, 23/856, 723/924 quickly i.e. 249435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/638, 23/856, 723/924 is 249435.

LCM(90/638, 23/856, 723/924) = 249435

LCM of 90/638, 23/856, 723/924

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 90/638,23/856,723/924

Given numbers are 90/638,23/856,723/924

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 90,23,723

Least Common Multiple of Numerators i.e. LCM of 90,23,723 is 498870.

GCF of Denominators means GCF of 638,856,924 as per the given fractions.

GCF of 638,856,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,23,723

LCM of Fractions 90/638,23/856,723/924 is 249435

3 90, 23, 723
30, 23, 241

∴ So the LCM of the given numbers is 3 x 30 x 23 x 241 = 498870

Least Common Multiple of 90,23,723 with GCF Formula

Least Common Multiple of 90,23,723 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 90,23,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,23,723) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(90,23,723) x common factors =1 x 3 = 3

LCM(90,23,723) = ( 90 × 23 × 723 ) / 3

LCM(90,23,723) = 1496610 / 3

LCM(90,23,723) = 498870


Lets's calculate GCF of 638,856,924

2 638, 856, 924
319, 428, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498870/2

Therefore the LCM of Fractions 90/638,23/856,723/924 is 249435

Greatest Common Factor of 638,856,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,856,924 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

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

Greatest Common Factor

We found the factors 638,856,924 . The biggest common factor number is the GCF number.
So the greatest common factor 638,856,924 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 90/638, 23/856, 723/924

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 90/638, 23/856, 723/924?

Answer: LCM of Numerators as per given numbers 90/638, 23/856, 723/924 is

LCM of Numerators i.e. for 90,23,723 is 498870

GCF of denominators i.e. for 638,856,924 is 2.

Thus, LCM of Fractions is 249435.Finally, LCM of Fractions for 90/638, 23/856, 723/924 is 249435.