Least Common Multiple of 34/22, 731/13, 182/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/22, 731/13, 182/320 quickly i.e. 133042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/22, 731/13, 182/320 is 133042.

LCM(34/22, 731/13, 182/320) = 133042

LCM of 34/22, 731/13, 182/320

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 34/22,731/13,182/320

Given numbers are 34/22,731/13,182/320

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 34,731,182

Least Common Multiple of Numerators i.e. LCM of 34,731,182 is 133042.

GCF of Denominators means GCF of 22,13,320 as per the given fractions.

GCF of 22,13,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,731,182

LCM of Fractions 34/22,731/13,182/320 is 133042

2 34, 731, 182
17 17, 731, 91
1, 43, 91

∴ So the LCM of the given numbers is 2 x 17 x 1 x 43 x 91 = 133042

Least Common Multiple of 34,731,182 with GCF Formula

Least Common Multiple of 34,731,182 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 34,731,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,731,182) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,731,182) x common factors =1 x 34 = 34

LCM(34,731,182) = ( 34 × 731 × 182 ) / 34

LCM(34,731,182) = 4523428 / 34

LCM(34,731,182) = 133042


Lets's calculate GCF of 22,13,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133042/1

Therefore the LCM of Fractions 34/22,731/13,182/320 is 133042

Greatest Common Factor of 22,13,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,13,320 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 22,13,320 . The biggest common factor number is the GCF number.
So the greatest common factor 22,13,320 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 34/22, 731/13, 182/320

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 34/22, 731/13, 182/320?

Answer: LCM of Numerators as per given numbers 34/22, 731/13, 182/320 is

LCM of Numerators i.e. for 34,731,182 is 133042

GCF of denominators i.e. for 22,13,320 is 1.

Thus, LCM of Fractions is 133042.Finally, LCM of Fractions for 34/22, 731/13, 182/320 is 133042.