Least Common Multiple of 825/932, 7935/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 825/932, 7935/905 quickly i.e. 436425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/932, 7935/905 is 436425.

LCM(825/932, 7935/905) = 436425

LCM of 825/932, 7935/905

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 825/932,7935/905

Given numbers are 825/932,7935/905

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 825,7935

Least Common Multiple of Numerators i.e. LCM of 825,7935 is 436425.

GCF of Denominators means GCF of 932,905 as per the given fractions.

GCF of 932,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,7935

LCM of Fractions 825/932,7935/905 is 436425

3 825, 7935
5 275, 2645
55, 529

∴ So the LCM of the given numbers is 3 x 5 x 55 x 529 = 436425

Least Common Multiple of 825,7935 with GCF Formula

Least Common Multiple of 825,7935 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 825,7935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,7935) = 15

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

GCF(825,7935) x common factors =15 x 1 = 15

LCM(825,7935) = ( 825 × 7935 ) / 15

LCM(825,7935) = 6546375 / 15

LCM(825,7935) = 436425


Lets's calculate GCF of 932,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436425/1

Therefore the LCM of Fractions 825/932,7935/905 is 436425

Greatest Common Factor of 932,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,905 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 932,905 . The biggest common factor number is the GCF number.
So the greatest common factor 932,905 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 825/932, 7935/905

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 825/932, 7935/905?

Answer: LCM of Numerators as per given numbers 825/932, 7935/905 is

LCM of Numerators i.e. for 825,7935 is 436425

GCF of denominators i.e. for 932,905 is 1.

Thus, LCM of Fractions is 436425.Finally, LCM of Fractions for 825/932, 7935/905 is 436425.