Least Common Multiple of 26/919, 789/206, 624/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/919, 789/206, 624/363 quickly i.e. 164112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/919, 789/206, 624/363 is 164112.

LCM(26/919, 789/206, 624/363) = 164112

LCM of 26/919, 789/206, 624/363

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 26/919,789/206,624/363

Given numbers are 26/919,789/206,624/363

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 26,789,624

Least Common Multiple of Numerators i.e. LCM of 26,789,624 is 164112.

GCF of Denominators means GCF of 919,206,363 as per the given fractions.

GCF of 919,206,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,789,624

LCM of Fractions 26/919,789/206,624/363 is 164112

2 26, 789, 624
3 13, 789, 312
13 13, 263, 104
1, 263, 8

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 263 x 8 = 164112

Least Common Multiple of 26,789,624 with GCF Formula

Least Common Multiple of 26,789,624 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 26,789,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,789,624) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(26,789,624) x common factors =1 x 78 = 78

LCM(26,789,624) = ( 26 × 789 × 624 ) / 78

LCM(26,789,624) = 12800736 / 78

LCM(26,789,624) = 164112


Lets's calculate GCF of 919,206,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164112/1

Therefore the LCM of Fractions 26/919,789/206,624/363 is 164112

Greatest Common Factor of 919,206,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,206,363 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 919,206,363 . The biggest common factor number is the GCF number.
So the greatest common factor 919,206,363 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 26/919, 789/206, 624/363

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 26/919, 789/206, 624/363?

Answer: LCM of Numerators as per given numbers 26/919, 789/206, 624/363 is

LCM of Numerators i.e. for 26,789,624 is 164112

GCF of denominators i.e. for 919,206,363 is 1.

Thus, LCM of Fractions is 164112.Finally, LCM of Fractions for 26/919, 789/206, 624/363 is 164112.