Least Common Multiple of 828/878, 1275/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/878, 1275/744 quickly i.e. 175950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/878, 1275/744 is 175950.

LCM(828/878, 1275/744) = 175950

LCM of 828/878, 1275/744

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 828/878,1275/744

Given numbers are 828/878,1275/744

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 828,1275

Least Common Multiple of Numerators i.e. LCM of 828,1275 is 351900.

GCF of Denominators means GCF of 878,744 as per the given fractions.

GCF of 878,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,1275

LCM of Fractions 828/878,1275/744 is 175950

3 828, 1275
276, 425

∴ So the LCM of the given numbers is 3 x 276 x 425 = 351900

Least Common Multiple of 828,1275 with GCF Formula

Least Common Multiple of 828,1275 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 828,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,1275) = 3

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

GCF(828,1275) x common factors =3 x 1 = 3

LCM(828,1275) = ( 828 × 1275 ) / 3

LCM(828,1275) = 1055700 / 3

LCM(828,1275) = 351900


Lets's calculate GCF of 878,744

2 878, 744
439, 372

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351900/2

Therefore the LCM of Fractions 828/878,1275/744 is 175950

Greatest Common Factor of 878,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,744 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 878,744 . The biggest common factor number is the GCF number.
So the greatest common factor 878,744 is 2.


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 828/878, 1275/744

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 828/878, 1275/744?

Answer: LCM of Numerators as per given numbers 828/878, 1275/744 is

LCM of Numerators i.e. for 828,1275 is 351900

GCF of denominators i.e. for 878,744 is 2.

Thus, LCM of Fractions is 175950.Finally, LCM of Fractions for 828/878, 1275/744 is 175950.