Least Common Multiple of 20/69, 15/65, 85/92, 28/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/69, 15/65, 85/92, 28/152 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/69, 15/65, 85/92, 28/152 is 7140.

LCM(20/69, 15/65, 85/92, 28/152) = 7140

LCM of 20/69, 15/65, 85/92, 28/152

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 20/69,15/65,85/92,28/152

Given numbers are 20/69,15/65,85/92,28/152

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 20,15,85,28

Least Common Multiple of Numerators i.e. LCM of 20,15,85,28 is 7140.

GCF of Denominators means GCF of 69,65,92,152 as per the given fractions.

GCF of 69,65,92,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,15,85,28

LCM of Fractions 20/69,15/65,85/92,28/152 is 7140

2 20, 15, 85, 28
2 10, 15, 85, 14
5 5, 15, 85, 7
1, 3, 17, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 3 x 17 x 7 = 7140

Least Common Multiple of 20,15,85,28 with GCF Formula

Least Common Multiple of 20,15,85,28 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 20,15,85,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,15,85,28) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(20,15,85,28) x common factors =1 x 100 = 100

LCM(20,15,85,28) = ( 20 × 15 × 85 × 28 ) / 100

LCM(20,15,85,28) = 714000 / 100

LCM(20,15,85,28) = 7140


Lets's calculate GCF of 69,65,92,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7140/1

Therefore the LCM of Fractions 20/69,15/65,85/92,28/152 is 7140

Greatest Common Factor of 69,65,92,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,65,92,152 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 65

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

1,5,13,65

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 69,65,92,152 . The biggest common factor number is the GCF number.
So the greatest common factor 69,65,92,152 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 20/69, 15/65, 85/92, 28/152

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 20/69, 15/65, 85/92, 28/152?

Answer: LCM of Numerators as per given numbers 20/69, 15/65, 85/92, 28/152 is

LCM of Numerators i.e. for 20,15,85,28 is 7140

GCF of denominators i.e. for 69,65,92,152 is 1.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 20/69, 15/65, 85/92, 28/152 is 7140.