Least Common Multiple of 42/678, 6096/6602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/678, 6096/6602 quickly i.e. 21336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/678, 6096/6602 is 21336.

LCM(42/678, 6096/6602) = 21336

LCM of 42/678, 6096/6602

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 42/678,6096/6602

Given numbers are 42/678,6096/6602

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 42,6096

Least Common Multiple of Numerators i.e. LCM of 42,6096 is 42672.

GCF of Denominators means GCF of 678,6602 as per the given fractions.

GCF of 678,6602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,6096

LCM of Fractions 42/678,6096/6602 is 21336

2 42, 6096
3 21, 3048
7, 1016

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1016 = 42672

Least Common Multiple of 42,6096 with GCF Formula

Least Common Multiple of 42,6096 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 42,6096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,6096) = 6

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

GCF(42,6096) x common factors =6 x 1 = 6

LCM(42,6096) = ( 42 × 6096 ) / 6

LCM(42,6096) = 256032 / 6

LCM(42,6096) = 42672


Lets's calculate GCF of 678,6602

2 678, 6602
339, 3301

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42672/2

Therefore the LCM of Fractions 42/678,6096/6602 is 21336

Greatest Common Factor of 678,6602 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,6602 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 6602

List of positive integer factors of 6602 that divides 6602 without a remainder.

1,2,3301,6602

Greatest Common Factor

We found the factors 678,6602 . The biggest common factor number is the GCF number.
So the greatest common factor 678,6602 is 2.


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 42/678, 6096/6602

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 42/678, 6096/6602?

Answer: LCM of Numerators as per given numbers 42/678, 6096/6602 is

LCM of Numerators i.e. for 42,6096 is 42672

GCF of denominators i.e. for 678,6602 is 2.

Thus, LCM of Fractions is 21336.Finally, LCM of Fractions for 42/678, 6096/6602 is 21336.