Least Common Multiple of 42/397, 2792/1989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/397, 2792/1989 quickly i.e. 58632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/397, 2792/1989 is 58632.

LCM(42/397, 2792/1989) = 58632

LCM of 42/397, 2792/1989

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 42/397,2792/1989

Given numbers are 42/397,2792/1989

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 42,2792

Least Common Multiple of Numerators i.e. LCM of 42,2792 is 58632.

GCF of Denominators means GCF of 397,1989 as per the given fractions.

GCF of 397,1989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,2792

LCM of Fractions 42/397,2792/1989 is 58632

2 42, 2792
21, 1396

∴ So the LCM of the given numbers is 2 x 21 x 1396 = 58632

Least Common Multiple of 42,2792 with GCF Formula

Least Common Multiple of 42,2792 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 42,2792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,2792) = 2

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

GCF(42,2792) x common factors =2 x 1 = 2

LCM(42,2792) = ( 42 × 2792 ) / 2

LCM(42,2792) = 117264 / 2

LCM(42,2792) = 58632


Lets's calculate GCF of 397,1989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58632/1

Therefore the LCM of Fractions 42/397,2792/1989 is 58632

Greatest Common Factor of 397,1989 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,1989 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Greatest Common Factor

We found the factors 397,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 397,1989 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 42/397, 2792/1989

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 42/397, 2792/1989?

Answer: LCM of Numerators as per given numbers 42/397, 2792/1989 is

LCM of Numerators i.e. for 42,2792 is 58632

GCF of denominators i.e. for 397,1989 is 1.

Thus, LCM of Fractions is 58632.Finally, LCM of Fractions for 42/397, 2792/1989 is 58632.