Least Common Multiple of 9/680, 1/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/680, 1/510 quickly i.e. 9/170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/680, 1/510 is 9/170.

LCM(9/680, 1/510) = 9/170

LCM of 9/680, 1/510

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 9/680,1/510

Given numbers are 9/680,1/510

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 9,1

Least Common Multiple of Numerators i.e. LCM of 9,1 is 9.

GCF of Denominators means GCF of 680,510 as per the given fractions.

GCF of 680,510 is 170 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,1

LCM of Fractions 9/680,1/510 is 9/170

Given numbers has no common factors except 1. So, there LCM is their product i.e 9

Least Common Multiple of 9,1 with GCF Formula

Least Common Multiple of 9,1 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 9,1 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,1) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9,1) x common factors =1 x 1 = 1

LCM(9,1) = ( 9 × 1 ) / 1

LCM(9,1) = 9 / 1

LCM(9,1) = 9


Lets's calculate GCF of 680,510

2 680, 510
5 340, 255
17 68, 51
4, 3

∴ So the GCF of the given numbers is 2 x 5 x 17 = 170

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9/170

Therefore the LCM of Fractions 9/680,1/510 is 9/170

Greatest Common Factor of 680,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,510 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 680,510 . The biggest common factor number is the GCF number.
So the greatest common factor 680,510 is 170.


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 9/680, 1/510

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 9/680, 1/510?

Answer: LCM of Numerators as per given numbers 9/680, 1/510 is

LCM of Numerators i.e. for 9,1 is 9

GCF of denominators i.e. for 680,510 is 170.

Thus, LCM of Fractions is 9/170.Finally, LCM of Fractions for 9/680, 1/510 is 9/170.