Least Common Multiple of 823/90, 933/68, 936/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/90, 933/68, 936/748 quickly i.e. 119786004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/90, 933/68, 936/748 is 119786004.

LCM(823/90, 933/68, 936/748) = 119786004

LCM of 823/90, 933/68, 936/748

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 823/90,933/68,936/748

Given numbers are 823/90,933/68,936/748

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 823,933,936

Least Common Multiple of Numerators i.e. LCM of 823,933,936 is 239572008.

GCF of Denominators means GCF of 90,68,748 as per the given fractions.

GCF of 90,68,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,933,936

LCM of Fractions 823/90,933/68,936/748 is 119786004

3 823, 933, 936
823, 311, 312

∴ So the LCM of the given numbers is 3 x 823 x 311 x 312 = 239572008

Least Common Multiple of 823,933,936 with GCF Formula

Least Common Multiple of 823,933,936 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 823,933,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,933,936) = 1

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

GCF(823,933,936) x common factors =1 x 3 = 3

LCM(823,933,936) = ( 823 × 933 × 936 ) / 3

LCM(823,933,936) = 718716024 / 3

LCM(823,933,936) = 239572008


Lets's calculate GCF of 90,68,748

2 90, 68, 748
45, 34, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239572008/2

Therefore the LCM of Fractions 823/90,933/68,936/748 is 119786004

Greatest Common Factor of 90,68,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,68,748 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 90,68,748 . The biggest common factor number is the GCF number.
So the greatest common factor 90,68,748 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 823/90, 933/68, 936/748

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 823/90, 933/68, 936/748?

Answer: LCM of Numerators as per given numbers 823/90, 933/68, 936/748 is

LCM of Numerators i.e. for 823,933,936 is 239572008

GCF of denominators i.e. for 90,68,748 is 2.

Thus, LCM of Fractions is 119786004.Finally, LCM of Fractions for 823/90, 933/68, 936/748 is 119786004.