Least Common Multiple of 37/594, 184/329, 696/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/594, 184/329, 696/945 quickly i.e. 592296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/594, 184/329, 696/945 is 592296.

LCM(37/594, 184/329, 696/945) = 592296

LCM of 37/594, 184/329, 696/945

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 37/594,184/329,696/945

Given numbers are 37/594,184/329,696/945

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 37,184,696

Least Common Multiple of Numerators i.e. LCM of 37,184,696 is 592296.

GCF of Denominators means GCF of 594,329,945 as per the given fractions.

GCF of 594,329,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,184,696

LCM of Fractions 37/594,184/329,696/945 is 592296

2 37, 184, 696
2 37, 92, 348
2 37, 46, 174
37, 23, 87

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 23 x 87 = 592296

Least Common Multiple of 37,184,696 with GCF Formula

Least Common Multiple of 37,184,696 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 37,184,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,184,696) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(37,184,696) x common factors =1 x 8 = 8

LCM(37,184,696) = ( 37 × 184 × 696 ) / 8

LCM(37,184,696) = 4738368 / 8

LCM(37,184,696) = 592296


Lets's calculate GCF of 594,329,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592296/1

Therefore the LCM of Fractions 37/594,184/329,696/945 is 592296

Greatest Common Factor of 594,329,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,329,945 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 594,329,945 . The biggest common factor number is the GCF number.
So the greatest common factor 594,329,945 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 37/594, 184/329, 696/945

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 37/594, 184/329, 696/945?

Answer: LCM of Numerators as per given numbers 37/594, 184/329, 696/945 is

LCM of Numerators i.e. for 37,184,696 is 592296

GCF of denominators i.e. for 594,329,945 is 1.

Thus, LCM of Fractions is 592296.Finally, LCM of Fractions for 37/594, 184/329, 696/945 is 592296.