Least Common Multiple of 91/322, 33/299, 580/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/322, 33/299, 580/249 quickly i.e. 1741740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/322, 33/299, 580/249 is 1741740.

LCM(91/322, 33/299, 580/249) = 1741740

LCM of 91/322, 33/299, 580/249

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 91/322,33/299,580/249

Given numbers are 91/322,33/299,580/249

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 91,33,580

Least Common Multiple of Numerators i.e. LCM of 91,33,580 is 1741740.

GCF of Denominators means GCF of 322,299,249 as per the given fractions.

GCF of 322,299,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,33,580

LCM of Fractions 91/322,33/299,580/249 is 1741740

Given numbers has no common factors except 1. So, there LCM is their product i.e 1741740

Least Common Multiple of 91,33,580 with GCF Formula

Least Common Multiple of 91,33,580 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 91,33,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,33,580) = 1

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

GCF(91,33,580) x common factors =1 x 1 = 1

LCM(91,33,580) = ( 91 × 33 × 580 ) / 1

LCM(91,33,580) = 1741740 / 1

LCM(91,33,580) = 1741740


Lets's calculate GCF of 322,299,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1741740/1

Therefore the LCM of Fractions 91/322,33/299,580/249 is 1741740

Greatest Common Factor of 322,299,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,299,249 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 322,299,249 . The biggest common factor number is the GCF number.
So the greatest common factor 322,299,249 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/322, 33/299, 580/249

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 91/322, 33/299, 580/249?

Answer: LCM of Numerators as per given numbers 91/322, 33/299, 580/249 is

LCM of Numerators i.e. for 91,33,580 is 1741740

GCF of denominators i.e. for 322,299,249 is 1.

Thus, LCM of Fractions is 1741740.Finally, LCM of Fractions for 91/322, 33/299, 580/249 is 1741740.