Least Common Multiple of 938/18, 382/91, 689/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/18, 382/91, 689/345 quickly i.e. 123439862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/18, 382/91, 689/345 is 123439862.

LCM(938/18, 382/91, 689/345) = 123439862

LCM of 938/18, 382/91, 689/345

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 938/18,382/91,689/345

Given numbers are 938/18,382/91,689/345

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 938,382,689

Least Common Multiple of Numerators i.e. LCM of 938,382,689 is 123439862.

GCF of Denominators means GCF of 18,91,345 as per the given fractions.

GCF of 18,91,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,382,689

LCM of Fractions 938/18,382/91,689/345 is 123439862

2 938, 382, 689
469, 191, 689

∴ So the LCM of the given numbers is 2 x 469 x 191 x 689 = 123439862

Least Common Multiple of 938,382,689 with GCF Formula

Least Common Multiple of 938,382,689 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 938,382,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,382,689) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(938,382,689) x common factors =1 x 2 = 2

LCM(938,382,689) = ( 938 × 382 × 689 ) / 2

LCM(938,382,689) = 246879724 / 2

LCM(938,382,689) = 123439862


Lets's calculate GCF of 18,91,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123439862/1

Therefore the LCM of Fractions 938/18,382/91,689/345 is 123439862

Greatest Common Factor of 18,91,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,91,345 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 18,91,345 . The biggest common factor number is the GCF number.
So the greatest common factor 18,91,345 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 938/18, 382/91, 689/345

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 938/18, 382/91, 689/345?

Answer: LCM of Numerators as per given numbers 938/18, 382/91, 689/345 is

LCM of Numerators i.e. for 938,382,689 is 123439862

GCF of denominators i.e. for 18,91,345 is 1.

Thus, LCM of Fractions is 123439862.Finally, LCM of Fractions for 938/18, 382/91, 689/345 is 123439862.