Least Common Multiple of 831/109, 956/822, 300/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/109, 956/822, 300/754 quickly i.e. 19860900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/109, 956/822, 300/754 is 19860900.

LCM(831/109, 956/822, 300/754) = 19860900

LCM of 831/109, 956/822, 300/754

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 831/109,956/822,300/754

Given numbers are 831/109,956/822,300/754

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 831,956,300

Least Common Multiple of Numerators i.e. LCM of 831,956,300 is 19860900.

GCF of Denominators means GCF of 109,822,754 as per the given fractions.

GCF of 109,822,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,956,300

LCM of Fractions 831/109,956/822,300/754 is 19860900

2 831, 956, 300
2 831, 478, 150
3 831, 239, 75
277, 239, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 277 x 239 x 25 = 19860900

Least Common Multiple of 831,956,300 with GCF Formula

Least Common Multiple of 831,956,300 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 831,956,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,956,300) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(831,956,300) x common factors =1 x 12 = 12

LCM(831,956,300) = ( 831 × 956 × 300 ) / 12

LCM(831,956,300) = 238330800 / 12

LCM(831,956,300) = 19860900


Lets's calculate GCF of 109,822,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19860900/1

Therefore the LCM of Fractions 831/109,956/822,300/754 is 19860900

Greatest Common Factor of 109,822,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,822,754 By Matching Biggest Common Factor Method

Factors of 109

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

1,109

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 109,822,754 . The biggest common factor number is the GCF number.
So the greatest common factor 109,822,754 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 831/109, 956/822, 300/754

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 831/109, 956/822, 300/754?

Answer: LCM of Numerators as per given numbers 831/109, 956/822, 300/754 is

LCM of Numerators i.e. for 831,956,300 is 19860900

GCF of denominators i.e. for 109,822,754 is 1.

Thus, LCM of Fractions is 19860900.Finally, LCM of Fractions for 831/109, 956/822, 300/754 is 19860900.