Least Common Multiple of 872/57, 394/2955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/57, 394/2955 quickly i.e. 171784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/57, 394/2955 is 171784/3.

LCM(872/57, 394/2955) = 171784/3

LCM of 872/57, 394/2955

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 872/57,394/2955

Given numbers are 872/57,394/2955

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 872,394

Least Common Multiple of Numerators i.e. LCM of 872,394 is 171784.

GCF of Denominators means GCF of 57,2955 as per the given fractions.

GCF of 57,2955 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,394

LCM of Fractions 872/57,394/2955 is 171784/3

2 872, 394
436, 197

∴ So the LCM of the given numbers is 2 x 436 x 197 = 171784

Least Common Multiple of 872,394 with GCF Formula

Least Common Multiple of 872,394 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 872,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,394) = 2

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

GCF(872,394) x common factors =2 x 1 = 2

LCM(872,394) = ( 872 × 394 ) / 2

LCM(872,394) = 343568 / 2

LCM(872,394) = 171784


Lets's calculate GCF of 57,2955

3 57, 2955
19, 985

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171784/3

Therefore the LCM of Fractions 872/57,394/2955 is 171784/3

Greatest Common Factor of 57,2955 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,2955 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 2955

List of positive integer factors of 2955 that divides 2955 without a remainder.

1,3,5,15,197,591,985,2955

Greatest Common Factor

We found the factors 57,2955 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2955 is 3.


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 872/57, 394/2955

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 872/57, 394/2955?

Answer: LCM of Numerators as per given numbers 872/57, 394/2955 is

LCM of Numerators i.e. for 872,394 is 171784

GCF of denominators i.e. for 57,2955 is 3.

Thus, LCM of Fractions is 171784/3.Finally, LCM of Fractions for 872/57, 394/2955 is 171784/3.