Least Common Multiple of 8167/644, 4777/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8167/644, 4777/322 quickly i.e. 39013759/322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8167/644, 4777/322 is 39013759/322.

LCM(8167/644, 4777/322) = 39013759/322

LCM of 8167/644, 4777/322

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 8167/644,4777/322

Given numbers are 8167/644,4777/322

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 8167,4777

Least Common Multiple of Numerators i.e. LCM of 8167,4777 is 39013759.

GCF of Denominators means GCF of 644,322 as per the given fractions.

GCF of 644,322 is 322 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8167,4777

LCM of Fractions 8167/644,4777/322 is 39013759/322

Given numbers has no common factors except 1. So, there LCM is their product i.e 39013759

Least Common Multiple of 8167,4777 with GCF Formula

Least Common Multiple of 8167,4777 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 8167,4777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8167,4777) = 1

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

GCF(8167,4777) x common factors =1 x 1 = 1

LCM(8167,4777) = ( 8167 × 4777 ) / 1

LCM(8167,4777) = 39013759 / 1

LCM(8167,4777) = 39013759


Lets's calculate GCF of 644,322

2 644, 322
7 322, 161
23 46, 23
2, 1

∴ So the GCF of the given numbers is 2 x 7 x 23 = 322

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39013759/322

Therefore the LCM of Fractions 8167/644,4777/322 is 39013759/322

Greatest Common Factor of 644,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,322 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 644,322 . The biggest common factor number is the GCF number.
So the greatest common factor 644,322 is 322.


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 8167/644, 4777/322

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 8167/644, 4777/322?

Answer: LCM of Numerators as per given numbers 8167/644, 4777/322 is

LCM of Numerators i.e. for 8167,4777 is 39013759

GCF of denominators i.e. for 644,322 is 322.

Thus, LCM of Fractions is 39013759/322.Finally, LCM of Fractions for 8167/644, 4777/322 is 39013759/322.