Least Common Multiple of 912/25, 489/30, 844/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 912/25, 489/30, 844/825 quickly i.e. 31366416/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/25, 489/30, 844/825 is 31366416/5.

LCM(912/25, 489/30, 844/825) = 31366416/5

LCM of 912/25, 489/30, 844/825

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 912/25,489/30,844/825

Given numbers are 912/25,489/30,844/825

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 912,489,844

Least Common Multiple of Numerators i.e. LCM of 912,489,844 is 31366416.

GCF of Denominators means GCF of 25,30,825 as per the given fractions.

GCF of 25,30,825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,489,844

LCM of Fractions 912/25,489/30,844/825 is 31366416/5

2 912, 489, 844
2 456, 489, 422
3 228, 489, 211
76, 163, 211

∴ So the LCM of the given numbers is 2 x 2 x 3 x 76 x 163 x 211 = 31366416

Least Common Multiple of 912,489,844 with GCF Formula

Least Common Multiple of 912,489,844 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 912,489,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,489,844) = 1

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

GCF(912,489,844) x common factors =1 x 12 = 12

LCM(912,489,844) = ( 912 × 489 × 844 ) / 12

LCM(912,489,844) = 376396992 / 12

LCM(912,489,844) = 31366416


Lets's calculate GCF of 25,30,825

5 25, 30, 825
5, 6, 165

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31366416/5

Therefore the LCM of Fractions 912/25,489/30,844/825 is 31366416/5

Greatest Common Factor of 25,30,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,30,825 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 25,30,825 . The biggest common factor number is the GCF number.
So the greatest common factor 25,30,825 is 5.


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 912/25, 489/30, 844/825

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 912/25, 489/30, 844/825?

Answer: LCM of Numerators as per given numbers 912/25, 489/30, 844/825 is

LCM of Numerators i.e. for 912,489,844 is 31366416

GCF of denominators i.e. for 25,30,825 is 5.

Thus, LCM of Fractions is 31366416/5.Finally, LCM of Fractions for 912/25, 489/30, 844/825 is 31366416/5.