Least Common Multiple of 69/810, 20/125, 289/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/810, 20/125, 289/170 quickly i.e. 79764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/810, 20/125, 289/170 is 79764.

LCM(69/810, 20/125, 289/170) = 79764

LCM of 69/810, 20/125, 289/170

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 69/810,20/125,289/170

Given numbers are 69/810,20/125,289/170

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 69,20,289

Least Common Multiple of Numerators i.e. LCM of 69,20,289 is 398820.

GCF of Denominators means GCF of 810,125,170 as per the given fractions.

GCF of 810,125,170 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,20,289

LCM of Fractions 69/810,20/125,289/170 is 79764

Given numbers has no common factors except 1. So, there LCM is their product i.e 398820

Least Common Multiple of 69,20,289 with GCF Formula

Least Common Multiple of 69,20,289 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 69,20,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,20,289) = 1

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

GCF(69,20,289) x common factors =1 x 1 = 1

LCM(69,20,289) = ( 69 × 20 × 289 ) / 1

LCM(69,20,289) = 398820 / 1

LCM(69,20,289) = 398820


Lets's calculate GCF of 810,125,170

5 810, 125, 170
162, 25, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398820/5

Therefore the LCM of Fractions 69/810,20/125,289/170 is 79764

Greatest Common Factor of 810,125,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,125,170 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 810,125,170 . The biggest common factor number is the GCF number.
So the greatest common factor 810,125,170 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 69/810, 20/125, 289/170

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 69/810, 20/125, 289/170?

Answer: LCM of Numerators as per given numbers 69/810, 20/125, 289/170 is

LCM of Numerators i.e. for 69,20,289 is 398820

GCF of denominators i.e. for 810,125,170 is 5.

Thus, LCM of Fractions is 79764.Finally, LCM of Fractions for 69/810, 20/125, 289/170 is 79764.