Least Common Multiple of 65/89, 702/12, 180/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/89, 702/12, 180/515 quickly i.e. 7020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/89, 702/12, 180/515 is 7020.

LCM(65/89, 702/12, 180/515) = 7020

LCM of 65/89, 702/12, 180/515

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 65/89,702/12,180/515

Given numbers are 65/89,702/12,180/515

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 65,702,180

Least Common Multiple of Numerators i.e. LCM of 65,702,180 is 7020.

GCF of Denominators means GCF of 89,12,515 as per the given fractions.

GCF of 89,12,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,702,180

LCM of Fractions 65/89,702/12,180/515 is 7020

2 65, 702, 180
3 65, 351, 90
3 65, 117, 30
5 65, 39, 10
13 13, 39, 2
1, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 13 x 1 x 3 x 2 = 7020

Least Common Multiple of 65,702,180 with GCF Formula

Least Common Multiple of 65,702,180 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 65,702,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,702,180) = 1

common factors(in case of two or more numbers have common factors) = 1170

GCF(65,702,180) x common factors =1 x 1170 = 1170

LCM(65,702,180) = ( 65 × 702 × 180 ) / 1170

LCM(65,702,180) = 8213400 / 1170

LCM(65,702,180) = 7020


Lets's calculate GCF of 89,12,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7020/1

Therefore the LCM of Fractions 65/89,702/12,180/515 is 7020

Greatest Common Factor of 89,12,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,12,515 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 89,12,515 . The biggest common factor number is the GCF number.
So the greatest common factor 89,12,515 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 65/89, 702/12, 180/515

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 65/89, 702/12, 180/515?

Answer: LCM of Numerators as per given numbers 65/89, 702/12, 180/515 is

LCM of Numerators i.e. for 65,702,180 is 7020

GCF of denominators i.e. for 89,12,515 is 1.

Thus, LCM of Fractions is 7020.Finally, LCM of Fractions for 65/89, 702/12, 180/515 is 7020.