Least Common Multiple of 57/865, 84/488, 390/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/865, 84/488, 390/952 quickly i.e. 103740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/865, 84/488, 390/952 is 103740.

LCM(57/865, 84/488, 390/952) = 103740

LCM of 57/865, 84/488, 390/952

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 57/865,84/488,390/952

Given numbers are 57/865,84/488,390/952

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 57,84,390

Least Common Multiple of Numerators i.e. LCM of 57,84,390 is 103740.

GCF of Denominators means GCF of 865,488,952 as per the given fractions.

GCF of 865,488,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,84,390

LCM of Fractions 57/865,84/488,390/952 is 103740

2 57, 84, 390
3 57, 42, 195
19, 14, 65

∴ So the LCM of the given numbers is 2 x 3 x 19 x 14 x 65 = 103740

Least Common Multiple of 57,84,390 with GCF Formula

Least Common Multiple of 57,84,390 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 57,84,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,84,390) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(57,84,390) x common factors =3 x 6 = 18

LCM(57,84,390) = ( 57 × 84 × 390 ) / 18

LCM(57,84,390) = 1867320 / 18

LCM(57,84,390) = 103740


Lets's calculate GCF of 865,488,952

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103740/1

Therefore the LCM of Fractions 57/865,84/488,390/952 is 103740

Greatest Common Factor of 865,488,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,488,952 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 865,488,952 . The biggest common factor number is the GCF number.
So the greatest common factor 865,488,952 is 1.


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 57/865, 84/488, 390/952

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 57/865, 84/488, 390/952?

Answer: LCM of Numerators as per given numbers 57/865, 84/488, 390/952 is

LCM of Numerators i.e. for 57,84,390 is 103740

GCF of denominators i.e. for 865,488,952 is 1.

Thus, LCM of Fractions is 103740.Finally, LCM of Fractions for 57/865, 84/488, 390/952 is 103740.