Least Common Multiple of 6436/80, 8830/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6436/80, 8830/916 quickly i.e. 7103735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6436/80, 8830/916 is 7103735.

LCM(6436/80, 8830/916) = 7103735

LCM of 6436/80, 8830/916

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 6436/80,8830/916

Given numbers are 6436/80,8830/916

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 6436,8830

Least Common Multiple of Numerators i.e. LCM of 6436,8830 is 28414940.

GCF of Denominators means GCF of 80,916 as per the given fractions.

GCF of 80,916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6436,8830

LCM of Fractions 6436/80,8830/916 is 7103735

2 6436, 8830
3218, 4415

∴ So the LCM of the given numbers is 2 x 3218 x 4415 = 28414940

Least Common Multiple of 6436,8830 with GCF Formula

Least Common Multiple of 6436,8830 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 6436,8830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6436,8830) = 2

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

GCF(6436,8830) x common factors =2 x 1 = 2

LCM(6436,8830) = ( 6436 × 8830 ) / 2

LCM(6436,8830) = 56829880 / 2

LCM(6436,8830) = 28414940


Lets's calculate GCF of 80,916

2 80, 916
2 40, 458
20, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28414940/4

Therefore the LCM of Fractions 6436/80,8830/916 is 7103735

Greatest Common Factor of 80,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,916 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 80,916 . The biggest common factor number is the GCF number.
So the greatest common factor 80,916 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6436/80, 8830/916

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 6436/80, 8830/916?

Answer: LCM of Numerators as per given numbers 6436/80, 8830/916 is

LCM of Numerators i.e. for 6436,8830 is 28414940

GCF of denominators i.e. for 80,916 is 4.

Thus, LCM of Fractions is 7103735.Finally, LCM of Fractions for 6436/80, 8830/916 is 7103735.