Least Common Multiple of 34/73, 344/57, 402/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/73, 344/57, 402/347 quickly i.e. 1175448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/73, 344/57, 402/347 is 1175448.

LCM(34/73, 344/57, 402/347) = 1175448

LCM of 34/73, 344/57, 402/347

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 34/73,344/57,402/347

Given numbers are 34/73,344/57,402/347

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 34,344,402

Least Common Multiple of Numerators i.e. LCM of 34,344,402 is 1175448.

GCF of Denominators means GCF of 73,57,347 as per the given fractions.

GCF of 73,57,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,344,402

LCM of Fractions 34/73,344/57,402/347 is 1175448

2 34, 344, 402
17, 172, 201

∴ So the LCM of the given numbers is 2 x 17 x 172 x 201 = 1175448

Least Common Multiple of 34,344,402 with GCF Formula

Least Common Multiple of 34,344,402 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 34,344,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,344,402) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,344,402) x common factors =2 x 2 = 4

LCM(34,344,402) = ( 34 × 344 × 402 ) / 4

LCM(34,344,402) = 4701792 / 4

LCM(34,344,402) = 1175448


Lets's calculate GCF of 73,57,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1175448/1

Therefore the LCM of Fractions 34/73,344/57,402/347 is 1175448

Greatest Common Factor of 73,57,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,57,347 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 73,57,347 . The biggest common factor number is the GCF number.
So the greatest common factor 73,57,347 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/73, 344/57, 402/347

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 34/73, 344/57, 402/347?

Answer: LCM of Numerators as per given numbers 34/73, 344/57, 402/347 is

LCM of Numerators i.e. for 34,344,402 is 1175448

GCF of denominators i.e. for 73,57,347 is 1.

Thus, LCM of Fractions is 1175448.Finally, LCM of Fractions for 34/73, 344/57, 402/347 is 1175448.