Least Common Multiple of 888/48, 752/20, 613/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 888/48, 752/20, 613/990 quickly i.e. 25584168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/48, 752/20, 613/990 is 25584168.

LCM(888/48, 752/20, 613/990) = 25584168

LCM of 888/48, 752/20, 613/990

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 888/48,752/20,613/990

Given numbers are 888/48,752/20,613/990

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 888,752,613

Least Common Multiple of Numerators i.e. LCM of 888,752,613 is 51168336.

GCF of Denominators means GCF of 48,20,990 as per the given fractions.

GCF of 48,20,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,752,613

LCM of Fractions 888/48,752/20,613/990 is 25584168

2 888, 752, 613
2 444, 376, 613
2 222, 188, 613
111, 94, 613

∴ So the LCM of the given numbers is 2 x 2 x 2 x 111 x 94 x 613 = 51168336

Least Common Multiple of 888,752,613 with GCF Formula

Least Common Multiple of 888,752,613 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 888,752,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,752,613) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(888,752,613) x common factors =1 x 8 = 8

LCM(888,752,613) = ( 888 × 752 × 613 ) / 8

LCM(888,752,613) = 409346688 / 8

LCM(888,752,613) = 51168336


Lets's calculate GCF of 48,20,990

2 48, 20, 990
24, 10, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51168336/2

Therefore the LCM of Fractions 888/48,752/20,613/990 is 25584168

Greatest Common Factor of 48,20,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,20,990 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 48,20,990 . The biggest common factor number is the GCF number.
So the greatest common factor 48,20,990 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 888/48, 752/20, 613/990

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 888/48, 752/20, 613/990?

Answer: LCM of Numerators as per given numbers 888/48, 752/20, 613/990 is

LCM of Numerators i.e. for 888,752,613 is 51168336

GCF of denominators i.e. for 48,20,990 is 2.

Thus, LCM of Fractions is 25584168.Finally, LCM of Fractions for 888/48, 752/20, 613/990 is 25584168.