Least Common Multiple of 34/41, 23/54, 687/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/41, 23/54, 687/68 quickly i.e. 537234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/41, 23/54, 687/68 is 537234.

LCM(34/41, 23/54, 687/68) = 537234

LCM of 34/41, 23/54, 687/68

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 34/41,23/54,687/68

Given numbers are 34/41,23/54,687/68

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 34,23,687

Least Common Multiple of Numerators i.e. LCM of 34,23,687 is 537234.

GCF of Denominators means GCF of 41,54,68 as per the given fractions.

GCF of 41,54,68 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,23,687

LCM of Fractions 34/41,23/54,687/68 is 537234

Given numbers has no common factors except 1. So, there LCM is their product i.e 537234

Least Common Multiple of 34,23,687 with GCF Formula

Least Common Multiple of 34,23,687 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 34,23,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,23,687) = 1

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

GCF(34,23,687) x common factors =1 x 1 = 1

LCM(34,23,687) = ( 34 × 23 × 687 ) / 1

LCM(34,23,687) = 537234 / 1

LCM(34,23,687) = 537234


Lets's calculate GCF of 41,54,68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 537234/1

Therefore the LCM of Fractions 34/41,23/54,687/68 is 537234

Greatest Common Factor of 41,54,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,54,68 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 41,54,68 . The biggest common factor number is the GCF number.
So the greatest common factor 41,54,68 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 34/41, 23/54, 687/68

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 34/41, 23/54, 687/68?

Answer: LCM of Numerators as per given numbers 34/41, 23/54, 687/68 is

LCM of Numerators i.e. for 34,23,687 is 537234

GCF of denominators i.e. for 41,54,68 is 1.

Thus, LCM of Fractions is 537234.Finally, LCM of Fractions for 34/41, 23/54, 687/68 is 537234.