Least Common Multiple of 34/567, 54/267, 644/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/567, 54/267, 644/184 quickly i.e. 295596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/567, 54/267, 644/184 is 295596.

LCM(34/567, 54/267, 644/184) = 295596

LCM of 34/567, 54/267, 644/184

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 34/567,54/267,644/184

Given numbers are 34/567,54/267,644/184

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 34,54,644

Least Common Multiple of Numerators i.e. LCM of 34,54,644 is 295596.

GCF of Denominators means GCF of 567,267,184 as per the given fractions.

GCF of 567,267,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,54,644

LCM of Fractions 34/567,54/267,644/184 is 295596

2 34, 54, 644
17, 27, 322

∴ So the LCM of the given numbers is 2 x 17 x 27 x 322 = 295596

Least Common Multiple of 34,54,644 with GCF Formula

Least Common Multiple of 34,54,644 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 34,54,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,54,644) = 2

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

GCF(34,54,644) x common factors =2 x 2 = 4

LCM(34,54,644) = ( 34 × 54 × 644 ) / 4

LCM(34,54,644) = 1182384 / 4

LCM(34,54,644) = 295596


Lets's calculate GCF of 567,267,184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295596/1

Therefore the LCM of Fractions 34/567,54/267,644/184 is 295596

Greatest Common Factor of 567,267,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,267,184 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 567,267,184 . The biggest common factor number is the GCF number.
So the greatest common factor 567,267,184 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 34/567, 54/267, 644/184

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 34/567, 54/267, 644/184?

Answer: LCM of Numerators as per given numbers 34/567, 54/267, 644/184 is

LCM of Numerators i.e. for 34,54,644 is 295596

GCF of denominators i.e. for 567,267,184 is 1.

Thus, LCM of Fractions is 295596.Finally, LCM of Fractions for 34/567, 54/267, 644/184 is 295596.