Least Common Multiple of 6391/312, 3256/7020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6391/312, 3256/7020 quickly i.e. 1891736/156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6391/312, 3256/7020 is 1891736/156.

LCM(6391/312, 3256/7020) = 1891736/156

LCM of 6391/312, 3256/7020

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 6391/312,3256/7020

Given numbers are 6391/312,3256/7020

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 6391,3256

Least Common Multiple of Numerators i.e. LCM of 6391,3256 is 1891736.

GCF of Denominators means GCF of 312,7020 as per the given fractions.

GCF of 312,7020 is 156 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6391,3256

LCM of Fractions 6391/312,3256/7020 is 1891736/156

11 6391, 3256
581, 296

∴ So the LCM of the given numbers is 11 x 581 x 296 = 1891736

Least Common Multiple of 6391,3256 with GCF Formula

Least Common Multiple of 6391,3256 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 6391,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6391,3256) = 11

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

GCF(6391,3256) x common factors =11 x 1 = 11

LCM(6391,3256) = ( 6391 × 3256 ) / 11

LCM(6391,3256) = 20809096 / 11

LCM(6391,3256) = 1891736


Lets's calculate GCF of 312,7020

2 312, 7020
2 156, 3510
3 78, 1755
13 26, 585
2, 45

∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1891736/156

Therefore the LCM of Fractions 6391/312,3256/7020 is 1891736/156

Greatest Common Factor of 312,7020 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,7020 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 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Greatest Common Factor

We found the factors 312,7020 . The biggest common factor number is the GCF number.
So the greatest common factor 312,7020 is 156.


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 6391/312, 3256/7020

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 6391/312, 3256/7020?

Answer: LCM of Numerators as per given numbers 6391/312, 3256/7020 is

LCM of Numerators i.e. for 6391,3256 is 1891736

GCF of denominators i.e. for 312,7020 is 156.

Thus, LCM of Fractions is 1891736/156.Finally, LCM of Fractions for 6391/312, 3256/7020 is 1891736/156.