Least Common Multiple of 95/20, 65/45, 52/67, 82/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/20, 65/45, 52/67, 82/660 quickly i.e. 202540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/20, 65/45, 52/67, 82/660 is 202540.

LCM(95/20, 65/45, 52/67, 82/660) = 202540

LCM of 95/20, 65/45, 52/67, 82/660

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 95/20,65/45,52/67,82/660

Given numbers are 95/20,65/45,52/67,82/660

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 95,65,52,82

Least Common Multiple of Numerators i.e. LCM of 95,65,52,82 is 202540.

GCF of Denominators means GCF of 20,45,67,660 as per the given fractions.

GCF of 20,45,67,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,65,52,82

LCM of Fractions 95/20,65/45,52/67,82/660 is 202540

2 95, 65, 52, 82
5 95, 65, 26, 41
13 19, 13, 26, 41
19, 1, 2, 41

∴ So the LCM of the given numbers is 2 x 5 x 13 x 19 x 1 x 2 x 41 = 202540

Least Common Multiple of 95,65,52,82 with GCF Formula

Least Common Multiple of 95,65,52,82 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 95,65,52,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,65,52,82) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(95,65,52,82) x common factors =1 x 130 = 130

LCM(95,65,52,82) = ( 95 × 65 × 52 × 82 ) / 130

LCM(95,65,52,82) = 26330200 / 130

LCM(95,65,52,82) = 202540


Lets's calculate GCF of 20,45,67,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202540/1

Therefore the LCM of Fractions 95/20,65/45,52/67,82/660 is 202540

Greatest Common Factor of 20,45,67,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,45,67,660 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 67

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

1,67

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 20,45,67,660 . The biggest common factor number is the GCF number.
So the greatest common factor 20,45,67,660 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 95/20, 65/45, 52/67, 82/660

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 95/20, 65/45, 52/67, 82/660?

Answer: LCM of Numerators as per given numbers 95/20, 65/45, 52/67, 82/660 is

LCM of Numerators i.e. for 95,65,52,82 is 202540

GCF of denominators i.e. for 20,45,67,660 is 1.

Thus, LCM of Fractions is 202540.Finally, LCM of Fractions for 95/20, 65/45, 52/67, 82/660 is 202540.