Least Common Multiple of 37/306, 533/81, 545/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/306, 533/81, 545/249 quickly i.e. 10747945/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/306, 533/81, 545/249 is 10747945/3.

LCM(37/306, 533/81, 545/249) = 10747945/3

LCM of 37/306, 533/81, 545/249

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 37/306,533/81,545/249

Given numbers are 37/306,533/81,545/249

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 37,533,545

Least Common Multiple of Numerators i.e. LCM of 37,533,545 is 10747945.

GCF of Denominators means GCF of 306,81,249 as per the given fractions.

GCF of 306,81,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,533,545

LCM of Fractions 37/306,533/81,545/249 is 10747945/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 10747945

Least Common Multiple of 37,533,545 with GCF Formula

Least Common Multiple of 37,533,545 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 37,533,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,533,545) = 1

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

GCF(37,533,545) x common factors =1 x 1 = 1

LCM(37,533,545) = ( 37 × 533 × 545 ) / 1

LCM(37,533,545) = 10747945 / 1

LCM(37,533,545) = 10747945


Lets's calculate GCF of 306,81,249

3 306, 81, 249
102, 27, 83

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10747945/3

Therefore the LCM of Fractions 37/306,533/81,545/249 is 10747945/3

Greatest Common Factor of 306,81,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,81,249 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

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 306,81,249 . The biggest common factor number is the GCF number.
So the greatest common factor 306,81,249 is 3.


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 37/306, 533/81, 545/249

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 37/306, 533/81, 545/249?

Answer: LCM of Numerators as per given numbers 37/306, 533/81, 545/249 is

LCM of Numerators i.e. for 37,533,545 is 10747945

GCF of denominators i.e. for 306,81,249 is 3.

Thus, LCM of Fractions is 10747945/3.Finally, LCM of Fractions for 37/306, 533/81, 545/249 is 10747945/3.