Least Common Multiple of 825/42, 276/5804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/42, 276/5804 quickly i.e. 37950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/42, 276/5804 is 37950.

LCM(825/42, 276/5804) = 37950

LCM of 825/42, 276/5804

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 825/42,276/5804

Given numbers are 825/42,276/5804

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 825,276

Least Common Multiple of Numerators i.e. LCM of 825,276 is 75900.

GCF of Denominators means GCF of 42,5804 as per the given fractions.

GCF of 42,5804 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,276

LCM of Fractions 825/42,276/5804 is 37950

3 825, 276
275, 92

∴ So the LCM of the given numbers is 3 x 275 x 92 = 75900

Least Common Multiple of 825,276 with GCF Formula

Least Common Multiple of 825,276 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 825,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,276) = 3

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

GCF(825,276) x common factors =3 x 1 = 3

LCM(825,276) = ( 825 × 276 ) / 3

LCM(825,276) = 227700 / 3

LCM(825,276) = 75900


Lets's calculate GCF of 42,5804

2 42, 5804
21, 2902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75900/2

Therefore the LCM of Fractions 825/42,276/5804 is 37950

Greatest Common Factor of 42,5804 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5804 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1,2,4,1451,2902,5804

Greatest Common Factor

We found the factors 42,5804 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5804 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 825/42, 276/5804

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 825/42, 276/5804?

Answer: LCM of Numerators as per given numbers 825/42, 276/5804 is

LCM of Numerators i.e. for 825,276 is 75900

GCF of denominators i.e. for 42,5804 is 2.

Thus, LCM of Fractions is 37950.Finally, LCM of Fractions for 825/42, 276/5804 is 37950.