Least Common Multiple of 15/42, 83/371, 939/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/42, 83/371, 939/948 quickly i.e. 389685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/42, 83/371, 939/948 is 389685.

LCM(15/42, 83/371, 939/948) = 389685

LCM of 15/42, 83/371, 939/948

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 15/42,83/371,939/948

Given numbers are 15/42,83/371,939/948

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 15,83,939

Least Common Multiple of Numerators i.e. LCM of 15,83,939 is 389685.

GCF of Denominators means GCF of 42,371,948 as per the given fractions.

GCF of 42,371,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,83,939

LCM of Fractions 15/42,83/371,939/948 is 389685

3 15, 83, 939
5, 83, 313

∴ So the LCM of the given numbers is 3 x 5 x 83 x 313 = 389685

Least Common Multiple of 15,83,939 with GCF Formula

Least Common Multiple of 15,83,939 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 15,83,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,83,939) = 1

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

GCF(15,83,939) x common factors =1 x 3 = 3

LCM(15,83,939) = ( 15 × 83 × 939 ) / 3

LCM(15,83,939) = 1169055 / 3

LCM(15,83,939) = 389685


Lets's calculate GCF of 42,371,948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389685/1

Therefore the LCM of Fractions 15/42,83/371,939/948 is 389685

Greatest Common Factor of 42,371,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,371,948 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 42,371,948 . The biggest common factor number is the GCF number.
So the greatest common factor 42,371,948 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 15/42, 83/371, 939/948

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 15/42, 83/371, 939/948?

Answer: LCM of Numerators as per given numbers 15/42, 83/371, 939/948 is

LCM of Numerators i.e. for 15,83,939 is 389685

GCF of denominators i.e. for 42,371,948 is 1.

Thus, LCM of Fractions is 389685.Finally, LCM of Fractions for 15/42, 83/371, 939/948 is 389685.