Least Common Multiple of 57/514, 465/26, 828/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/514, 465/26, 828/888 quickly i.e. 1219230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/514, 465/26, 828/888 is 1219230.

LCM(57/514, 465/26, 828/888) = 1219230

LCM of 57/514, 465/26, 828/888

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 57/514,465/26,828/888

Given numbers are 57/514,465/26,828/888

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 57,465,828

Least Common Multiple of Numerators i.e. LCM of 57,465,828 is 2438460.

GCF of Denominators means GCF of 514,26,888 as per the given fractions.

GCF of 514,26,888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,465,828

LCM of Fractions 57/514,465/26,828/888 is 1219230

3 57, 465, 828
19, 155, 276

∴ So the LCM of the given numbers is 3 x 19 x 155 x 276 = 2438460

Least Common Multiple of 57,465,828 with GCF Formula

Least Common Multiple of 57,465,828 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 57,465,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,465,828) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(57,465,828) x common factors =3 x 3 = 9

LCM(57,465,828) = ( 57 × 465 × 828 ) / 9

LCM(57,465,828) = 21946140 / 9

LCM(57,465,828) = 2438460


Lets's calculate GCF of 514,26,888

2 514, 26, 888
257, 13, 444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2438460/2

Therefore the LCM of Fractions 57/514,465/26,828/888 is 1219230

Greatest Common Factor of 514,26,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,26,888 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 514,26,888 . The biggest common factor number is the GCF number.
So the greatest common factor 514,26,888 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 57/514, 465/26, 828/888

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 57/514, 465/26, 828/888?

Answer: LCM of Numerators as per given numbers 57/514, 465/26, 828/888 is

LCM of Numerators i.e. for 57,465,828 is 2438460

GCF of denominators i.e. for 514,26,888 is 2.

Thus, LCM of Fractions is 1219230.Finally, LCM of Fractions for 57/514, 465/26, 828/888 is 1219230.