Least Common Multiple of 57/921, 71/663, 362/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/921, 71/663, 362/582 quickly i.e. 488338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/921, 71/663, 362/582 is 488338.

LCM(57/921, 71/663, 362/582) = 488338

LCM of 57/921, 71/663, 362/582

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 57/921,71/663,362/582

Given numbers are 57/921,71/663,362/582

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 57,71,362

Least Common Multiple of Numerators i.e. LCM of 57,71,362 is 1465014.

GCF of Denominators means GCF of 921,663,582 as per the given fractions.

GCF of 921,663,582 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,71,362

LCM of Fractions 57/921,71/663,362/582 is 488338

Given numbers has no common factors except 1. So, there LCM is their product i.e 1465014

Least Common Multiple of 57,71,362 with GCF Formula

Least Common Multiple of 57,71,362 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 57,71,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,71,362) = 1

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

GCF(57,71,362) x common factors =1 x 1 = 1

LCM(57,71,362) = ( 57 × 71 × 362 ) / 1

LCM(57,71,362) = 1465014 / 1

LCM(57,71,362) = 1465014


Lets's calculate GCF of 921,663,582

3 921, 663, 582
307, 221, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1465014/3

Therefore the LCM of Fractions 57/921,71/663,362/582 is 488338

Greatest Common Factor of 921,663,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,663,582 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 921,663,582 . The biggest common factor number is the GCF number.
So the greatest common factor 921,663,582 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 57/921, 71/663, 362/582

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 57/921, 71/663, 362/582?

Answer: LCM of Numerators as per given numbers 57/921, 71/663, 362/582 is

LCM of Numerators i.e. for 57,71,362 is 1465014

GCF of denominators i.e. for 921,663,582 is 3.

Thus, LCM of Fractions is 488338.Finally, LCM of Fractions for 57/921, 71/663, 362/582 is 488338.