Least Common Multiple of 900/78, 626/30, 308/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/78, 626/30, 308/791 quickly i.e. 21690900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/78, 626/30, 308/791 is 21690900.

LCM(900/78, 626/30, 308/791) = 21690900

LCM of 900/78, 626/30, 308/791

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 900/78,626/30,308/791

Given numbers are 900/78,626/30,308/791

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 900,626,308

Least Common Multiple of Numerators i.e. LCM of 900,626,308 is 21690900.

GCF of Denominators means GCF of 78,30,791 as per the given fractions.

GCF of 78,30,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,626,308

LCM of Fractions 900/78,626/30,308/791 is 21690900

2 900, 626, 308
2 450, 313, 154
225, 313, 77

∴ So the LCM of the given numbers is 2 x 2 x 225 x 313 x 77 = 21690900

Least Common Multiple of 900,626,308 with GCF Formula

Least Common Multiple of 900,626,308 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 900,626,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,626,308) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(900,626,308) x common factors =2 x 4 = 8

LCM(900,626,308) = ( 900 × 626 × 308 ) / 8

LCM(900,626,308) = 173527200 / 8

LCM(900,626,308) = 21690900


Lets's calculate GCF of 78,30,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21690900/1

Therefore the LCM of Fractions 900/78,626/30,308/791 is 21690900

Greatest Common Factor of 78,30,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,30,791 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 78,30,791 . The biggest common factor number is the GCF number.
So the greatest common factor 78,30,791 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 900/78, 626/30, 308/791

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 900/78, 626/30, 308/791?

Answer: LCM of Numerators as per given numbers 900/78, 626/30, 308/791 is

LCM of Numerators i.e. for 900,626,308 is 21690900

GCF of denominators i.e. for 78,30,791 is 1.

Thus, LCM of Fractions is 21690900.Finally, LCM of Fractions for 900/78, 626/30, 308/791 is 21690900.