Least Common Multiple of 788/44, 644/5220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/44, 644/5220 quickly i.e. 31717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/44, 644/5220 is 31717.

LCM(788/44, 644/5220) = 31717

LCM of 788/44, 644/5220

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 788/44,644/5220

Given numbers are 788/44,644/5220

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 788,644

Least Common Multiple of Numerators i.e. LCM of 788,644 is 126868.

GCF of Denominators means GCF of 44,5220 as per the given fractions.

GCF of 44,5220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,644

LCM of Fractions 788/44,644/5220 is 31717

2 788, 644
2 394, 322
197, 161

∴ So the LCM of the given numbers is 2 x 2 x 197 x 161 = 126868

Least Common Multiple of 788,644 with GCF Formula

Least Common Multiple of 788,644 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 788,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,644) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(788,644) x common factors =4 x 1 = 4

LCM(788,644) = ( 788 × 644 ) / 4

LCM(788,644) = 507472 / 4

LCM(788,644) = 126868


Lets's calculate GCF of 44,5220

2 44, 5220
2 22, 2610
11, 1305

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126868/4

Therefore the LCM of Fractions 788/44,644/5220 is 31717

Greatest Common Factor of 44,5220 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,5220 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Greatest Common Factor

We found the factors 44,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 44,5220 is 4.


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 788/44, 644/5220

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 788/44, 644/5220?

Answer: LCM of Numerators as per given numbers 788/44, 644/5220 is

LCM of Numerators i.e. for 788,644 is 126868

GCF of denominators i.e. for 44,5220 is 4.

Thus, LCM of Fractions is 31717.Finally, LCM of Fractions for 788/44, 644/5220 is 31717.