Least Common Multiple of 973/37, 273/11, 712/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/37, 273/11, 712/419 quickly i.e. 27018264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/37, 273/11, 712/419 is 27018264.

LCM(973/37, 273/11, 712/419) = 27018264

LCM of 973/37, 273/11, 712/419

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 973/37,273/11,712/419

Given numbers are 973/37,273/11,712/419

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 973,273,712

Least Common Multiple of Numerators i.e. LCM of 973,273,712 is 27018264.

GCF of Denominators means GCF of 37,11,419 as per the given fractions.

GCF of 37,11,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,273,712

LCM of Fractions 973/37,273/11,712/419 is 27018264

7 973, 273, 712
139, 39, 712

∴ So the LCM of the given numbers is 7 x 139 x 39 x 712 = 27018264

Least Common Multiple of 973,273,712 with GCF Formula

Least Common Multiple of 973,273,712 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 973,273,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,273,712) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(973,273,712) x common factors =1 x 7 = 7

LCM(973,273,712) = ( 973 × 273 × 712 ) / 7

LCM(973,273,712) = 189127848 / 7

LCM(973,273,712) = 27018264


Lets's calculate GCF of 37,11,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27018264/1

Therefore the LCM of Fractions 973/37,273/11,712/419 is 27018264

Greatest Common Factor of 37,11,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,11,419 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 37,11,419 . The biggest common factor number is the GCF number.
So the greatest common factor 37,11,419 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 973/37, 273/11, 712/419

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 973/37, 273/11, 712/419?

Answer: LCM of Numerators as per given numbers 973/37, 273/11, 712/419 is

LCM of Numerators i.e. for 973,273,712 is 27018264

GCF of denominators i.e. for 37,11,419 is 1.

Thus, LCM of Fractions is 27018264.Finally, LCM of Fractions for 973/37, 273/11, 712/419 is 27018264.