Least Common Multiple of 299/72, 821/9128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/72, 821/9128 quickly i.e. 245479/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/72, 821/9128 is 245479/8.

LCM(299/72, 821/9128) = 245479/8

LCM of 299/72, 821/9128

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 299/72,821/9128

Given numbers are 299/72,821/9128

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 299,821

Least Common Multiple of Numerators i.e. LCM of 299,821 is 245479.

GCF of Denominators means GCF of 72,9128 as per the given fractions.

GCF of 72,9128 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,821

LCM of Fractions 299/72,821/9128 is 245479/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 245479

Least Common Multiple of 299,821 with GCF Formula

Least Common Multiple of 299,821 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 299,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,821) = 1

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

GCF(299,821) x common factors =1 x 1 = 1

LCM(299,821) = ( 299 × 821 ) / 1

LCM(299,821) = 245479 / 1

LCM(299,821) = 245479


Lets's calculate GCF of 72,9128

2 72, 9128
2 36, 4564
2 18, 2282
9, 1141

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245479/8

Therefore the LCM of Fractions 299/72,821/9128 is 245479/8

Greatest Common Factor of 72,9128 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9128 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Greatest Common Factor

We found the factors 72,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9128 is 8.


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 299/72, 821/9128

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 299/72, 821/9128?

Answer: LCM of Numerators as per given numbers 299/72, 821/9128 is

LCM of Numerators i.e. for 299,821 is 245479

GCF of denominators i.e. for 72,9128 is 8.

Thus, LCM of Fractions is 245479/8.Finally, LCM of Fractions for 299/72, 821/9128 is 245479/8.