Least Common Multiple of 304/72, 739/91, 349/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/72, 739/91, 349/967 quickly i.e. 78404944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/72, 739/91, 349/967 is 78404944.

LCM(304/72, 739/91, 349/967) = 78404944

LCM of 304/72, 739/91, 349/967

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 304/72,739/91,349/967

Given numbers are 304/72,739/91,349/967

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 304,739,349

Least Common Multiple of Numerators i.e. LCM of 304,739,349 is 78404944.

GCF of Denominators means GCF of 72,91,967 as per the given fractions.

GCF of 72,91,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,739,349

LCM of Fractions 304/72,739/91,349/967 is 78404944

Given numbers has no common factors except 1. So, there LCM is their product i.e 78404944

Least Common Multiple of 304,739,349 with GCF Formula

Least Common Multiple of 304,739,349 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 304,739,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,739,349) = 1

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

GCF(304,739,349) x common factors =1 x 1 = 1

LCM(304,739,349) = ( 304 × 739 × 349 ) / 1

LCM(304,739,349) = 78404944 / 1

LCM(304,739,349) = 78404944


Lets's calculate GCF of 72,91,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78404944/1

Therefore the LCM of Fractions 304/72,739/91,349/967 is 78404944

Greatest Common Factor of 72,91,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,91,967 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 72,91,967 . The biggest common factor number is the GCF number.
So the greatest common factor 72,91,967 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 304/72, 739/91, 349/967

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 304/72, 739/91, 349/967?

Answer: LCM of Numerators as per given numbers 304/72, 739/91, 349/967 is

LCM of Numerators i.e. for 304,739,349 is 78404944

GCF of denominators i.e. for 72,91,967 is 1.

Thus, LCM of Fractions is 78404944.Finally, LCM of Fractions for 304/72, 739/91, 349/967 is 78404944.