Least Common Multiple of 42/234, 6984/2889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/234, 6984/2889 quickly i.e. 5432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/234, 6984/2889 is 5432.

LCM(42/234, 6984/2889) = 5432

LCM of 42/234, 6984/2889

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 42/234,6984/2889

Given numbers are 42/234,6984/2889

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 42,6984

Least Common Multiple of Numerators i.e. LCM of 42,6984 is 48888.

GCF of Denominators means GCF of 234,2889 as per the given fractions.

GCF of 234,2889 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,6984

LCM of Fractions 42/234,6984/2889 is 5432

2 42, 6984
3 21, 3492
7, 1164

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1164 = 48888

Least Common Multiple of 42,6984 with GCF Formula

Least Common Multiple of 42,6984 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 42,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,6984) = 6

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

GCF(42,6984) x common factors =6 x 1 = 6

LCM(42,6984) = ( 42 × 6984 ) / 6

LCM(42,6984) = 293328 / 6

LCM(42,6984) = 48888


Lets's calculate GCF of 234,2889

3 234, 2889
3 78, 963
26, 321

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48888/9

Therefore the LCM of Fractions 42/234,6984/2889 is 5432

Greatest Common Factor of 234,2889 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,2889 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1,3,9,27,107,321,963,2889

Greatest Common Factor

We found the factors 234,2889 . The biggest common factor number is the GCF number.
So the greatest common factor 234,2889 is 9.


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 42/234, 6984/2889

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 42/234, 6984/2889?

Answer: LCM of Numerators as per given numbers 42/234, 6984/2889 is

LCM of Numerators i.e. for 42,6984 is 48888

GCF of denominators i.e. for 234,2889 is 9.

Thus, LCM of Fractions is 5432.Finally, LCM of Fractions for 42/234, 6984/2889 is 5432.