Least Common Multiple of 763/869, 419/144, 633/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/869, 419/144, 633/109 quickly i.e. 202368201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/869, 419/144, 633/109 is 202368201.

LCM(763/869, 419/144, 633/109) = 202368201

LCM of 763/869, 419/144, 633/109

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 763/869,419/144,633/109

Given numbers are 763/869,419/144,633/109

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 763,419,633

Least Common Multiple of Numerators i.e. LCM of 763,419,633 is 202368201.

GCF of Denominators means GCF of 869,144,109 as per the given fractions.

GCF of 869,144,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,419,633

LCM of Fractions 763/869,419/144,633/109 is 202368201

Given numbers has no common factors except 1. So, there LCM is their product i.e 202368201

Least Common Multiple of 763,419,633 with GCF Formula

Least Common Multiple of 763,419,633 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 763,419,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,419,633) = 1

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

GCF(763,419,633) x common factors =1 x 1 = 1

LCM(763,419,633) = ( 763 × 419 × 633 ) / 1

LCM(763,419,633) = 202368201 / 1

LCM(763,419,633) = 202368201


Lets's calculate GCF of 869,144,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202368201/1

Therefore the LCM of Fractions 763/869,419/144,633/109 is 202368201

Greatest Common Factor of 869,144,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,144,109 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 869,144,109 . The biggest common factor number is the GCF number.
So the greatest common factor 869,144,109 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 763/869, 419/144, 633/109

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 763/869, 419/144, 633/109?

Answer: LCM of Numerators as per given numbers 763/869, 419/144, 633/109 is

LCM of Numerators i.e. for 763,419,633 is 202368201

GCF of denominators i.e. for 869,144,109 is 1.

Thus, LCM of Fractions is 202368201.Finally, LCM of Fractions for 763/869, 419/144, 633/109 is 202368201.