Least Common Multiple of 40/23, 17/10, 959/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/23, 17/10, 959/689 quickly i.e. 652120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/23, 17/10, 959/689 is 652120.

LCM(40/23, 17/10, 959/689) = 652120

LCM of 40/23, 17/10, 959/689

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 40/23,17/10,959/689

Given numbers are 40/23,17/10,959/689

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 40,17,959

Least Common Multiple of Numerators i.e. LCM of 40,17,959 is 652120.

GCF of Denominators means GCF of 23,10,689 as per the given fractions.

GCF of 23,10,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,17,959

LCM of Fractions 40/23,17/10,959/689 is 652120

Given numbers has no common factors except 1. So, there LCM is their product i.e 652120

Least Common Multiple of 40,17,959 with GCF Formula

Least Common Multiple of 40,17,959 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 40,17,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,17,959) = 1

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

GCF(40,17,959) x common factors =1 x 1 = 1

LCM(40,17,959) = ( 40 × 17 × 959 ) / 1

LCM(40,17,959) = 652120 / 1

LCM(40,17,959) = 652120


Lets's calculate GCF of 23,10,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 652120/1

Therefore the LCM of Fractions 40/23,17/10,959/689 is 652120

Greatest Common Factor of 23,10,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,10,689 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 23,10,689 . The biggest common factor number is the GCF number.
So the greatest common factor 23,10,689 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 40/23, 17/10, 959/689

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 40/23, 17/10, 959/689?

Answer: LCM of Numerators as per given numbers 40/23, 17/10, 959/689 is

LCM of Numerators i.e. for 40,17,959 is 652120

GCF of denominators i.e. for 23,10,689 is 1.

Thus, LCM of Fractions is 652120.Finally, LCM of Fractions for 40/23, 17/10, 959/689 is 652120.