Least Common Multiple of 3/67, 2/29, 26/40, 71/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/67, 2/29, 26/40, 71/305 quickly i.e. 5538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/67, 2/29, 26/40, 71/305 is 5538.

LCM(3/67, 2/29, 26/40, 71/305) = 5538

LCM of 3/67, 2/29, 26/40, 71/305

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 3/67,2/29,26/40,71/305

Given numbers are 3/67,2/29,26/40,71/305

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 3,2,26,71

Least Common Multiple of Numerators i.e. LCM of 3,2,26,71 is 5538.

GCF of Denominators means GCF of 67,29,40,305 as per the given fractions.

GCF of 67,29,40,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,2,26,71

LCM of Fractions 3/67,2/29,26/40,71/305 is 5538

2 3, 2, 26, 71
3, 1, 13, 71

∴ So the LCM of the given numbers is 2 x 3 x 1 x 13 x 71 = 5538

Least Common Multiple of 3,2,26,71 with GCF Formula

Least Common Multiple of 3,2,26,71 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 3,2,26,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,2,26,71) = 1

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

GCF(3,2,26,71) x common factors =1 x 2 = 2

LCM(3,2,26,71) = ( 3 × 2 × 26 × 71 ) / 2

LCM(3,2,26,71) = 11076 / 2

LCM(3,2,26,71) = 5538


Lets's calculate GCF of 67,29,40,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5538/1

Therefore the LCM of Fractions 3/67,2/29,26/40,71/305 is 5538

Greatest Common Factor of 67,29,40,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,29,40,305 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 67,29,40,305 . The biggest common factor number is the GCF number.
So the greatest common factor 67,29,40,305 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 3/67, 2/29, 26/40, 71/305

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 3/67, 2/29, 26/40, 71/305?

Answer: LCM of Numerators as per given numbers 3/67, 2/29, 26/40, 71/305 is

LCM of Numerators i.e. for 3,2,26,71 is 5538

GCF of denominators i.e. for 67,29,40,305 is 1.

Thus, LCM of Fractions is 5538.Finally, LCM of Fractions for 3/67, 2/29, 26/40, 71/305 is 5538.