Least Common Multiple of 542/233, 3689/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/233, 3689/987 quickly i.e. 1999438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/233, 3689/987 is 1999438.

LCM(542/233, 3689/987) = 1999438

LCM of 542/233, 3689/987

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 542/233,3689/987

Given numbers are 542/233,3689/987

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 542,3689

Least Common Multiple of Numerators i.e. LCM of 542,3689 is 1999438.

GCF of Denominators means GCF of 233,987 as per the given fractions.

GCF of 233,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,3689

LCM of Fractions 542/233,3689/987 is 1999438

Given numbers has no common factors except 1. So, there LCM is their product i.e 1999438

Least Common Multiple of 542,3689 with GCF Formula

Least Common Multiple of 542,3689 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 542,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,3689) = 1

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

GCF(542,3689) x common factors =1 x 1 = 1

LCM(542,3689) = ( 542 × 3689 ) / 1

LCM(542,3689) = 1999438 / 1

LCM(542,3689) = 1999438


Lets's calculate GCF of 233,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1999438/1

Therefore the LCM of Fractions 542/233,3689/987 is 1999438

Greatest Common Factor of 233,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,987 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 987

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

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

Greatest Common Factor

We found the factors 233,987 . The biggest common factor number is the GCF number.
So the greatest common factor 233,987 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 542/233, 3689/987

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 542/233, 3689/987?

Answer: LCM of Numerators as per given numbers 542/233, 3689/987 is

LCM of Numerators i.e. for 542,3689 is 1999438

GCF of denominators i.e. for 233,987 is 1.

Thus, LCM of Fractions is 1999438.Finally, LCM of Fractions for 542/233, 3689/987 is 1999438.