Least Common Multiple of 57/994, 805/287, 829/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/994, 805/287, 829/972 quickly i.e. 38038665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/994, 805/287, 829/972 is 38038665.

LCM(57/994, 805/287, 829/972) = 38038665

LCM of 57/994, 805/287, 829/972

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 57/994,805/287,829/972

Given numbers are 57/994,805/287,829/972

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 57,805,829

Least Common Multiple of Numerators i.e. LCM of 57,805,829 is 38038665.

GCF of Denominators means GCF of 994,287,972 as per the given fractions.

GCF of 994,287,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,805,829

LCM of Fractions 57/994,805/287,829/972 is 38038665

Given numbers has no common factors except 1. So, there LCM is their product i.e 38038665

Least Common Multiple of 57,805,829 with GCF Formula

Least Common Multiple of 57,805,829 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 57,805,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,805,829) = 1

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

GCF(57,805,829) x common factors =1 x 1 = 1

LCM(57,805,829) = ( 57 × 805 × 829 ) / 1

LCM(57,805,829) = 38038665 / 1

LCM(57,805,829) = 38038665


Lets's calculate GCF of 994,287,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38038665/1

Therefore the LCM of Fractions 57/994,805/287,829/972 is 38038665

Greatest Common Factor of 994,287,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,287,972 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 994,287,972 . The biggest common factor number is the GCF number.
So the greatest common factor 994,287,972 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 57/994, 805/287, 829/972

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 57/994, 805/287, 829/972?

Answer: LCM of Numerators as per given numbers 57/994, 805/287, 829/972 is

LCM of Numerators i.e. for 57,805,829 is 38038665

GCF of denominators i.e. for 994,287,972 is 1.

Thus, LCM of Fractions is 38038665.Finally, LCM of Fractions for 57/994, 805/287, 829/972 is 38038665.