Least Common Multiple of 72/890, 7242/6199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/890, 7242/6199 quickly i.e. 86904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/890, 7242/6199 is 86904.

LCM(72/890, 7242/6199) = 86904

LCM of 72/890, 7242/6199

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 72/890,7242/6199

Given numbers are 72/890,7242/6199

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 72,7242

Least Common Multiple of Numerators i.e. LCM of 72,7242 is 86904.

GCF of Denominators means GCF of 890,6199 as per the given fractions.

GCF of 890,6199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,7242

LCM of Fractions 72/890,7242/6199 is 86904

2 72, 7242
3 36, 3621
12, 1207

∴ So the LCM of the given numbers is 2 x 3 x 12 x 1207 = 86904

Least Common Multiple of 72,7242 with GCF Formula

Least Common Multiple of 72,7242 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 72,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,7242) = 6

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

GCF(72,7242) x common factors =6 x 1 = 6

LCM(72,7242) = ( 72 × 7242 ) / 6

LCM(72,7242) = 521424 / 6

LCM(72,7242) = 86904


Lets's calculate GCF of 890,6199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86904/1

Therefore the LCM of Fractions 72/890,7242/6199 is 86904

Greatest Common Factor of 890,6199 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,6199 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 6199

List of positive integer factors of 6199 that divides 6199 without a remainder.

1,6199

Greatest Common Factor

We found the factors 890,6199 . The biggest common factor number is the GCF number.
So the greatest common factor 890,6199 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 72/890, 7242/6199

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 72/890, 7242/6199?

Answer: LCM of Numerators as per given numbers 72/890, 7242/6199 is

LCM of Numerators i.e. for 72,7242 is 86904

GCF of denominators i.e. for 890,6199 is 1.

Thus, LCM of Fractions is 86904.Finally, LCM of Fractions for 72/890, 7242/6199 is 86904.