Least Common Multiple of 22/65, 12/40, 35/14, 65/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/65, 12/40, 35/14, 65/552 quickly i.e. 60060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/65, 12/40, 35/14, 65/552 is 60060.

LCM(22/65, 12/40, 35/14, 65/552) = 60060

LCM of 22/65, 12/40, 35/14, 65/552

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 22/65,12/40,35/14,65/552

Given numbers are 22/65,12/40,35/14,65/552

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 22,12,35,65

Least Common Multiple of Numerators i.e. LCM of 22,12,35,65 is 60060.

GCF of Denominators means GCF of 65,40,14,552 as per the given fractions.

GCF of 65,40,14,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,12,35,65

LCM of Fractions 22/65,12/40,35/14,65/552 is 60060

2 22, 12, 35, 65
5 11, 6, 35, 65
11, 6, 7, 13

∴ So the LCM of the given numbers is 2 x 5 x 11 x 6 x 7 x 13 = 60060

Least Common Multiple of 22,12,35,65 with GCF Formula

Least Common Multiple of 22,12,35,65 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 22,12,35,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,12,35,65) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(22,12,35,65) x common factors =1 x 10 = 10

LCM(22,12,35,65) = ( 22 × 12 × 35 × 65 ) / 10

LCM(22,12,35,65) = 600600 / 10

LCM(22,12,35,65) = 60060


Lets's calculate GCF of 65,40,14,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/1

Therefore the LCM of Fractions 22/65,12/40,35/14,65/552 is 60060

Greatest Common Factor of 65,40,14,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,40,14,552 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 65,40,14,552 . The biggest common factor number is the GCF number.
So the greatest common factor 65,40,14,552 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 22/65, 12/40, 35/14, 65/552

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 22/65, 12/40, 35/14, 65/552?

Answer: LCM of Numerators as per given numbers 22/65, 12/40, 35/14, 65/552 is

LCM of Numerators i.e. for 22,12,35,65 is 60060

GCF of denominators i.e. for 65,40,14,552 is 1.

Thus, LCM of Fractions is 60060.Finally, LCM of Fractions for 22/65, 12/40, 35/14, 65/552 is 60060.