Least Common Multiple of 42/642, 7094/1482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/642, 7094/1482 quickly i.e. 24829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/642, 7094/1482 is 24829.

LCM(42/642, 7094/1482) = 24829

LCM of 42/642, 7094/1482

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 42/642,7094/1482

Given numbers are 42/642,7094/1482

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 42,7094

Least Common Multiple of Numerators i.e. LCM of 42,7094 is 148974.

GCF of Denominators means GCF of 642,1482 as per the given fractions.

GCF of 642,1482 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,7094

LCM of Fractions 42/642,7094/1482 is 24829

2 42, 7094
21, 3547

∴ So the LCM of the given numbers is 2 x 21 x 3547 = 148974

Least Common Multiple of 42,7094 with GCF Formula

Least Common Multiple of 42,7094 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 42,7094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,7094) = 2

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

GCF(42,7094) x common factors =2 x 1 = 2

LCM(42,7094) = ( 42 × 7094 ) / 2

LCM(42,7094) = 297948 / 2

LCM(42,7094) = 148974


Lets's calculate GCF of 642,1482

2 642, 1482
3 321, 741
107, 247

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148974/6

Therefore the LCM of Fractions 42/642,7094/1482 is 24829

Greatest Common Factor of 642,1482 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,1482 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482

Greatest Common Factor

We found the factors 642,1482 . The biggest common factor number is the GCF number.
So the greatest common factor 642,1482 is 6.


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 42/642, 7094/1482

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 42/642, 7094/1482?

Answer: LCM of Numerators as per given numbers 42/642, 7094/1482 is

LCM of Numerators i.e. for 42,7094 is 148974

GCF of denominators i.e. for 642,1482 is 6.

Thus, LCM of Fractions is 24829.Finally, LCM of Fractions for 42/642, 7094/1482 is 24829.