Least Common Multiple of 840/76, 872/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/76, 872/208 quickly i.e. 22890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/76, 872/208 is 22890.

LCM(840/76, 872/208) = 22890

LCM of 840/76, 872/208

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 840/76,872/208

Given numbers are 840/76,872/208

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 840,872

Least Common Multiple of Numerators i.e. LCM of 840,872 is 91560.

GCF of Denominators means GCF of 76,208 as per the given fractions.

GCF of 76,208 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,872

LCM of Fractions 840/76,872/208 is 22890

2 840, 872
2 420, 436
2 210, 218
105, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 105 x 109 = 91560

Least Common Multiple of 840,872 with GCF Formula

Least Common Multiple of 840,872 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 840,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,872) = 8

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

GCF(840,872) x common factors =8 x 1 = 8

LCM(840,872) = ( 840 × 872 ) / 8

LCM(840,872) = 732480 / 8

LCM(840,872) = 91560


Lets's calculate GCF of 76,208

2 76, 208
2 38, 104
19, 52

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91560/4

Therefore the LCM of Fractions 840/76,872/208 is 22890

Greatest Common Factor of 76,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,208 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 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 76,208 . The biggest common factor number is the GCF number.
So the greatest common factor 76,208 is 4.


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 840/76, 872/208

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 840/76, 872/208?

Answer: LCM of Numerators as per given numbers 840/76, 872/208 is

LCM of Numerators i.e. for 840,872 is 91560

GCF of denominators i.e. for 76,208 is 4.

Thus, LCM of Fractions is 22890.Finally, LCM of Fractions for 840/76, 872/208 is 22890.