Least Common Multiple of 3919/987, 5942/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3919/987, 5942/732 quickly i.e. 23286698/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3919/987, 5942/732 is 23286698/3.

LCM(3919/987, 5942/732) = 23286698/3

LCM of 3919/987, 5942/732

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 3919/987,5942/732

Given numbers are 3919/987,5942/732

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 3919,5942

Least Common Multiple of Numerators i.e. LCM of 3919,5942 is 23286698.

GCF of Denominators means GCF of 987,732 as per the given fractions.

GCF of 987,732 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3919,5942

LCM of Fractions 3919/987,5942/732 is 23286698/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 23286698

Least Common Multiple of 3919,5942 with GCF Formula

Least Common Multiple of 3919,5942 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 3919,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3919,5942) = 1

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

GCF(3919,5942) x common factors =1 x 1 = 1

LCM(3919,5942) = ( 3919 × 5942 ) / 1

LCM(3919,5942) = 23286698 / 1

LCM(3919,5942) = 23286698


Lets's calculate GCF of 987,732

3 987, 732
329, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23286698/3

Therefore the LCM of Fractions 3919/987,5942/732 is 23286698/3

Greatest Common Factor of 987,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,732 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 987,732 . The biggest common factor number is the GCF number.
So the greatest common factor 987,732 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3919/987, 5942/732

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 3919/987, 5942/732?

Answer: LCM of Numerators as per given numbers 3919/987, 5942/732 is

LCM of Numerators i.e. for 3919,5942 is 23286698

GCF of denominators i.e. for 987,732 is 3.

Thus, LCM of Fractions is 23286698/3.Finally, LCM of Fractions for 3919/987, 5942/732 is 23286698/3.