Least Common Multiple of 304/90, 642/5642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/90, 642/5642 quickly i.e. 48792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/90, 642/5642 is 48792.

LCM(304/90, 642/5642) = 48792

LCM of 304/90, 642/5642

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 304/90,642/5642

Given numbers are 304/90,642/5642

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 304,642

Least Common Multiple of Numerators i.e. LCM of 304,642 is 97584.

GCF of Denominators means GCF of 90,5642 as per the given fractions.

GCF of 90,5642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,642

LCM of Fractions 304/90,642/5642 is 48792

2 304, 642
152, 321

∴ So the LCM of the given numbers is 2 x 152 x 321 = 97584

Least Common Multiple of 304,642 with GCF Formula

Least Common Multiple of 304,642 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 304,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,642) = 2

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

GCF(304,642) x common factors =2 x 1 = 2

LCM(304,642) = ( 304 × 642 ) / 2

LCM(304,642) = 195168 / 2

LCM(304,642) = 97584


Lets's calculate GCF of 90,5642

2 90, 5642
45, 2821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97584/2

Therefore the LCM of Fractions 304/90,642/5642 is 48792

Greatest Common Factor of 90,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5642 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 90,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5642 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 304/90, 642/5642

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 304/90, 642/5642?

Answer: LCM of Numerators as per given numbers 304/90, 642/5642 is

LCM of Numerators i.e. for 304,642 is 97584

GCF of denominators i.e. for 90,5642 is 2.

Thus, LCM of Fractions is 48792.Finally, LCM of Fractions for 304/90, 642/5642 is 48792.