Least Common Multiple of 8354/634, 6376/5967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8354/634, 6376/5967 quickly i.e. 26632552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8354/634, 6376/5967 is 26632552.

LCM(8354/634, 6376/5967) = 26632552

LCM of 8354/634, 6376/5967

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 8354/634,6376/5967

Given numbers are 8354/634,6376/5967

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 8354,6376

Least Common Multiple of Numerators i.e. LCM of 8354,6376 is 26632552.

GCF of Denominators means GCF of 634,5967 as per the given fractions.

GCF of 634,5967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8354,6376

LCM of Fractions 8354/634,6376/5967 is 26632552

2 8354, 6376
4177, 3188

∴ So the LCM of the given numbers is 2 x 4177 x 3188 = 26632552

Least Common Multiple of 8354,6376 with GCF Formula

Least Common Multiple of 8354,6376 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 8354,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8354,6376) = 2

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

GCF(8354,6376) x common factors =2 x 1 = 2

LCM(8354,6376) = ( 8354 × 6376 ) / 2

LCM(8354,6376) = 53265104 / 2

LCM(8354,6376) = 26632552


Lets's calculate GCF of 634,5967

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26632552/1

Therefore the LCM of Fractions 8354/634,6376/5967 is 26632552

Greatest Common Factor of 634,5967 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,5967 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Greatest Common Factor

We found the factors 634,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 634,5967 is 1.


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 8354/634, 6376/5967

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 8354/634, 6376/5967?

Answer: LCM of Numerators as per given numbers 8354/634, 6376/5967 is

LCM of Numerators i.e. for 8354,6376 is 26632552

GCF of denominators i.e. for 634,5967 is 1.

Thus, LCM of Fractions is 26632552.Finally, LCM of Fractions for 8354/634, 6376/5967 is 26632552.