Least Common Multiple of 825/76, 849/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/76, 849/912 quickly i.e. 233475/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/76, 849/912 is 233475/76.

LCM(825/76, 849/912) = 233475/76

LCM of 825/76, 849/912

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 825/76,849/912

Given numbers are 825/76,849/912

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 825,849

Least Common Multiple of Numerators i.e. LCM of 825,849 is 233475.

GCF of Denominators means GCF of 76,912 as per the given fractions.

GCF of 76,912 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,849

LCM of Fractions 825/76,849/912 is 233475/76

3 825, 849
275, 283

∴ So the LCM of the given numbers is 3 x 275 x 283 = 233475

Least Common Multiple of 825,849 with GCF Formula

Least Common Multiple of 825,849 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 825,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,849) = 3

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

GCF(825,849) x common factors =3 x 1 = 3

LCM(825,849) = ( 825 × 849 ) / 3

LCM(825,849) = 700425 / 3

LCM(825,849) = 233475


Lets's calculate GCF of 76,912

2 76, 912
2 38, 456
19 19, 228
1, 12

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233475/76

Therefore the LCM of Fractions 825/76,849/912 is 233475/76

Greatest Common Factor of 76,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,912 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 76,912 . The biggest common factor number is the GCF number.
So the greatest common factor 76,912 is 76.


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 825/76, 849/912

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 825/76, 849/912?

Answer: LCM of Numerators as per given numbers 825/76, 849/912 is

LCM of Numerators i.e. for 825,849 is 233475

GCF of denominators i.e. for 76,912 is 76.

Thus, LCM of Fractions is 233475/76.Finally, LCM of Fractions for 825/76, 849/912 is 233475/76.