Least Common Multiple of 30/32, 34/50, 13/36, 22/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/32, 34/50, 13/36, 22/340 quickly i.e. 36465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/32, 34/50, 13/36, 22/340 is 36465.

LCM(30/32, 34/50, 13/36, 22/340) = 36465

LCM of 30/32, 34/50, 13/36, 22/340

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 30/32,34/50,13/36,22/340

Given numbers are 30/32,34/50,13/36,22/340

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 30,34,13,22

Least Common Multiple of Numerators i.e. LCM of 30,34,13,22 is 72930.

GCF of Denominators means GCF of 32,50,36,340 as per the given fractions.

GCF of 32,50,36,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,34,13,22

LCM of Fractions 30/32,34/50,13/36,22/340 is 36465

2 30, 34, 13, 22
15, 17, 13, 11

∴ So the LCM of the given numbers is 2 x 15 x 17 x 13 x 11 = 72930

Least Common Multiple of 30,34,13,22 with GCF Formula

Least Common Multiple of 30,34,13,22 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 30,34,13,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,34,13,22) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(30,34,13,22) x common factors =1 x 4 = 4

LCM(30,34,13,22) = ( 30 × 34 × 13 × 22 ) / 4

LCM(30,34,13,22) = 291720 / 4

LCM(30,34,13,22) = 72930


Lets's calculate GCF of 32,50,36,340

2 32, 50, 36, 340
16, 25, 18, 170

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72930/2

Therefore the LCM of Fractions 30/32,34/50,13/36,22/340 is 36465

Greatest Common Factor of 32,50,36,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,50,36,340 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 32,50,36,340 . The biggest common factor number is the GCF number.
So the greatest common factor 32,50,36,340 is 2.


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 30/32, 34/50, 13/36, 22/340

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 30/32, 34/50, 13/36, 22/340?

Answer: LCM of Numerators as per given numbers 30/32, 34/50, 13/36, 22/340 is

LCM of Numerators i.e. for 30,34,13,22 is 72930

GCF of denominators i.e. for 32,50,36,340 is 2.

Thus, LCM of Fractions is 36465.Finally, LCM of Fractions for 30/32, 34/50, 13/36, 22/340 is 36465.