Least Common Multiple of 57/872, 76/100, 485/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/872, 76/100, 485/714 quickly i.e. 55290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/872, 76/100, 485/714 is 55290.

LCM(57/872, 76/100, 485/714) = 55290

LCM of 57/872, 76/100, 485/714

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 57/872,76/100,485/714

Given numbers are 57/872,76/100,485/714

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 57,76,485

Least Common Multiple of Numerators i.e. LCM of 57,76,485 is 110580.

GCF of Denominators means GCF of 872,100,714 as per the given fractions.

GCF of 872,100,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,76,485

LCM of Fractions 57/872,76/100,485/714 is 55290

19 57, 76, 485
3, 4, 485

∴ So the LCM of the given numbers is 19 x 3 x 4 x 485 = 110580

Least Common Multiple of 57,76,485 with GCF Formula

Least Common Multiple of 57,76,485 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 57,76,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,76,485) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,76,485) x common factors =1 x 19 = 19

LCM(57,76,485) = ( 57 × 76 × 485 ) / 19

LCM(57,76,485) = 2101020 / 19

LCM(57,76,485) = 110580


Lets's calculate GCF of 872,100,714

2 872, 100, 714
436, 50, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110580/2

Therefore the LCM of Fractions 57/872,76/100,485/714 is 55290

Greatest Common Factor of 872,100,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,100,714 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 872,100,714 . The biggest common factor number is the GCF number.
So the greatest common factor 872,100,714 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 57/872, 76/100, 485/714

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 57/872, 76/100, 485/714?

Answer: LCM of Numerators as per given numbers 57/872, 76/100, 485/714 is

LCM of Numerators i.e. for 57,76,485 is 110580

GCF of denominators i.e. for 872,100,714 is 2.

Thus, LCM of Fractions is 55290.Finally, LCM of Fractions for 57/872, 76/100, 485/714 is 55290.