Least Common Multiple of 293/734, 323/385, 347/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/734, 323/385, 347/147 quickly i.e. 32839733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/734, 323/385, 347/147 is 32839733.

LCM(293/734, 323/385, 347/147) = 32839733

LCM of 293/734, 323/385, 347/147

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 293/734,323/385,347/147

Given numbers are 293/734,323/385,347/147

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 293,323,347

Least Common Multiple of Numerators i.e. LCM of 293,323,347 is 32839733.

GCF of Denominators means GCF of 734,385,147 as per the given fractions.

GCF of 734,385,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,323,347

LCM of Fractions 293/734,323/385,347/147 is 32839733

Given numbers has no common factors except 1. So, there LCM is their product i.e 32839733

Least Common Multiple of 293,323,347 with GCF Formula

Least Common Multiple of 293,323,347 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 293,323,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,323,347) = 1

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

GCF(293,323,347) x common factors =1 x 1 = 1

LCM(293,323,347) = ( 293 × 323 × 347 ) / 1

LCM(293,323,347) = 32839733 / 1

LCM(293,323,347) = 32839733


Lets's calculate GCF of 734,385,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32839733/1

Therefore the LCM of Fractions 293/734,323/385,347/147 is 32839733

Greatest Common Factor of 734,385,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,385,147 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 734,385,147 . The biggest common factor number is the GCF number.
So the greatest common factor 734,385,147 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 293/734, 323/385, 347/147

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 293/734, 323/385, 347/147?

Answer: LCM of Numerators as per given numbers 293/734, 323/385, 347/147 is

LCM of Numerators i.e. for 293,323,347 is 32839733

GCF of denominators i.e. for 734,385,147 is 1.

Thus, LCM of Fractions is 32839733.Finally, LCM of Fractions for 293/734, 323/385, 347/147 is 32839733.