Least Common Multiple of 8368/642, 7632/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8368/642, 7632/773 quickly i.e. 3991536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8368/642, 7632/773 is 3991536.

LCM(8368/642, 7632/773) = 3991536

LCM of 8368/642, 7632/773

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 8368/642,7632/773

Given numbers are 8368/642,7632/773

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 8368,7632

Least Common Multiple of Numerators i.e. LCM of 8368,7632 is 3991536.

GCF of Denominators means GCF of 642,773 as per the given fractions.

GCF of 642,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8368,7632

LCM of Fractions 8368/642,7632/773 is 3991536

2 8368, 7632
2 4184, 3816
2 2092, 1908
2 1046, 954
523, 477

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 523 x 477 = 3991536

Least Common Multiple of 8368,7632 with GCF Formula

Least Common Multiple of 8368,7632 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 8368,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8368,7632) = 16

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

GCF(8368,7632) x common factors =16 x 1 = 16

LCM(8368,7632) = ( 8368 × 7632 ) / 16

LCM(8368,7632) = 63864576 / 16

LCM(8368,7632) = 3991536


Lets's calculate GCF of 642,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3991536/1

Therefore the LCM of Fractions 8368/642,7632/773 is 3991536

Greatest Common Factor of 642,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,773 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 642,773 . The biggest common factor number is the GCF number.
So the greatest common factor 642,773 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 8368/642, 7632/773

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 8368/642, 7632/773?

Answer: LCM of Numerators as per given numbers 8368/642, 7632/773 is

LCM of Numerators i.e. for 8368,7632 is 3991536

GCF of denominators i.e. for 642,773 is 1.

Thus, LCM of Fractions is 3991536.Finally, LCM of Fractions for 8368/642, 7632/773 is 3991536.