Least Common Multiple of 80/525, 18/895, 106/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/525, 18/895, 106/540 quickly i.e. 7632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/525, 18/895, 106/540 is 7632.

LCM(80/525, 18/895, 106/540) = 7632

LCM of 80/525, 18/895, 106/540

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 80/525,18/895,106/540

Given numbers are 80/525,18/895,106/540

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 80,18,106

Least Common Multiple of Numerators i.e. LCM of 80,18,106 is 38160.

GCF of Denominators means GCF of 525,895,540 as per the given fractions.

GCF of 525,895,540 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,18,106

LCM of Fractions 80/525,18/895,106/540 is 7632

2 80, 18, 106
40, 9, 53

∴ So the LCM of the given numbers is 2 x 40 x 9 x 53 = 38160

Least Common Multiple of 80,18,106 with GCF Formula

Least Common Multiple of 80,18,106 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 80,18,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,18,106) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(80,18,106) x common factors =2 x 2 = 4

LCM(80,18,106) = ( 80 × 18 × 106 ) / 4

LCM(80,18,106) = 152640 / 4

LCM(80,18,106) = 38160


Lets's calculate GCF of 525,895,540

5 525, 895, 540
105, 179, 108

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38160/5

Therefore the LCM of Fractions 80/525,18/895,106/540 is 7632

Greatest Common Factor of 525,895,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,895,540 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 525,895,540 . The biggest common factor number is the GCF number.
So the greatest common factor 525,895,540 is 5.


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 80/525, 18/895, 106/540

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 80/525, 18/895, 106/540?

Answer: LCM of Numerators as per given numbers 80/525, 18/895, 106/540 is

LCM of Numerators i.e. for 80,18,106 is 38160

GCF of denominators i.e. for 525,895,540 is 5.

Thus, LCM of Fractions is 7632.Finally, LCM of Fractions for 80/525, 18/895, 106/540 is 7632.