Least Common Multiple of 8636/312, 3127/9920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8636/312, 3127/9920 quickly i.e. 27004772/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8636/312, 3127/9920 is 27004772/8.

LCM(8636/312, 3127/9920) = 27004772/8

LCM of 8636/312, 3127/9920

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 8636/312,3127/9920

Given numbers are 8636/312,3127/9920

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 8636,3127

Least Common Multiple of Numerators i.e. LCM of 8636,3127 is 27004772.

GCF of Denominators means GCF of 312,9920 as per the given fractions.

GCF of 312,9920 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8636,3127

LCM of Fractions 8636/312,3127/9920 is 27004772/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 27004772

Least Common Multiple of 8636,3127 with GCF Formula

Least Common Multiple of 8636,3127 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 8636,3127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8636,3127) = 1

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

GCF(8636,3127) x common factors =1 x 1 = 1

LCM(8636,3127) = ( 8636 × 3127 ) / 1

LCM(8636,3127) = 27004772 / 1

LCM(8636,3127) = 27004772


Lets's calculate GCF of 312,9920

2 312, 9920
2 156, 4960
2 78, 2480
39, 1240

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27004772/8

Therefore the LCM of Fractions 8636/312,3127/9920 is 27004772/8

Greatest Common Factor of 312,9920 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,9920 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors 312,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 312,9920 is 8.


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 8636/312, 3127/9920

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 8636/312, 3127/9920?

Answer: LCM of Numerators as per given numbers 8636/312, 3127/9920 is

LCM of Numerators i.e. for 8636,3127 is 27004772

GCF of denominators i.e. for 312,9920 is 8.

Thus, LCM of Fractions is 27004772/8.Finally, LCM of Fractions for 8636/312, 3127/9920 is 27004772/8.