Least Common Multiple of 305/37, 328/46, 723/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/37, 328/46, 723/934 quickly i.e. 72328920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/37, 328/46, 723/934 is 72328920.

LCM(305/37, 328/46, 723/934) = 72328920

LCM of 305/37, 328/46, 723/934

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 305/37,328/46,723/934

Given numbers are 305/37,328/46,723/934

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 305,328,723

Least Common Multiple of Numerators i.e. LCM of 305,328,723 is 72328920.

GCF of Denominators means GCF of 37,46,934 as per the given fractions.

GCF of 37,46,934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,328,723

LCM of Fractions 305/37,328/46,723/934 is 72328920

Given numbers has no common factors except 1. So, there LCM is their product i.e 72328920

Least Common Multiple of 305,328,723 with GCF Formula

Least Common Multiple of 305,328,723 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 305,328,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,328,723) = 1

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

GCF(305,328,723) x common factors =1 x 1 = 1

LCM(305,328,723) = ( 305 × 328 × 723 ) / 1

LCM(305,328,723) = 72328920 / 1

LCM(305,328,723) = 72328920


Lets's calculate GCF of 37,46,934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72328920/1

Therefore the LCM of Fractions 305/37,328/46,723/934 is 72328920

Greatest Common Factor of 37,46,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,46,934 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 37,46,934 . The biggest common factor number is the GCF number.
So the greatest common factor 37,46,934 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 305/37, 328/46, 723/934

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 305/37, 328/46, 723/934?

Answer: LCM of Numerators as per given numbers 305/37, 328/46, 723/934 is

LCM of Numerators i.e. for 305,328,723 is 72328920

GCF of denominators i.e. for 37,46,934 is 1.

Thus, LCM of Fractions is 72328920.Finally, LCM of Fractions for 305/37, 328/46, 723/934 is 72328920.