Least Common Multiple of 389/17, 111/57, 762/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/17, 111/57, 762/292 quickly i.e. 10967466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/17, 111/57, 762/292 is 10967466.

LCM(389/17, 111/57, 762/292) = 10967466

LCM of 389/17, 111/57, 762/292

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 389/17,111/57,762/292

Given numbers are 389/17,111/57,762/292

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 389,111,762

Least Common Multiple of Numerators i.e. LCM of 389,111,762 is 10967466.

GCF of Denominators means GCF of 17,57,292 as per the given fractions.

GCF of 17,57,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,111,762

LCM of Fractions 389/17,111/57,762/292 is 10967466

3 389, 111, 762
389, 37, 254

∴ So the LCM of the given numbers is 3 x 389 x 37 x 254 = 10967466

Least Common Multiple of 389,111,762 with GCF Formula

Least Common Multiple of 389,111,762 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 389,111,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,111,762) = 1

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

GCF(389,111,762) x common factors =1 x 3 = 3

LCM(389,111,762) = ( 389 × 111 × 762 ) / 3

LCM(389,111,762) = 32902398 / 3

LCM(389,111,762) = 10967466


Lets's calculate GCF of 17,57,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10967466/1

Therefore the LCM of Fractions 389/17,111/57,762/292 is 10967466

Greatest Common Factor of 17,57,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,57,292 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 17,57,292 . The biggest common factor number is the GCF number.
So the greatest common factor 17,57,292 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 389/17, 111/57, 762/292

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 389/17, 111/57, 762/292?

Answer: LCM of Numerators as per given numbers 389/17, 111/57, 762/292 is

LCM of Numerators i.e. for 389,111,762 is 10967466

GCF of denominators i.e. for 17,57,292 is 1.

Thus, LCM of Fractions is 10967466.Finally, LCM of Fractions for 389/17, 111/57, 762/292 is 10967466.