Least Common Multiple of 304/90, 867/7322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 304/90, 867/7322 quickly i.e. 131784 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, 867/7322 is 131784.

LCM(304/90, 867/7322) = 131784

LCM of 304/90, 867/7322

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 304/90,867/7322

Given numbers are 304/90,867/7322

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 304,867

Least Common Multiple of Numerators i.e. LCM of 304,867 is 263568.

GCF of Denominators means GCF of 90,7322 as per the given fractions.

GCF of 90,7322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,867

LCM of Fractions 304/90,867/7322 is 131784

Given numbers has no common factors except 1. So, there LCM is their product i.e 263568

Least Common Multiple of 304,867 with GCF Formula

Least Common Multiple of 304,867 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 304,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,867) = 1

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

GCF(304,867) x common factors =1 x 1 = 1

LCM(304,867) = ( 304 × 867 ) / 1

LCM(304,867) = 263568 / 1

LCM(304,867) = 263568


Lets's calculate GCF of 90,7322

2 90, 7322
45, 3661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263568/2

Therefore the LCM of Fractions 304/90,867/7322 is 131784

Greatest Common Factor of 90,7322 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7322 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 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1,2,7,14,523,1046,3661,7322

Greatest Common Factor

We found the factors 90,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7322 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 304/90, 867/7322

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, 867/7322?

Answer: LCM of Numerators as per given numbers 304/90, 867/7322 is

LCM of Numerators i.e. for 304,867 is 263568

GCF of denominators i.e. for 90,7322 is 2.

Thus, LCM of Fractions is 131784.Finally, LCM of Fractions for 304/90, 867/7322 is 131784.