Least Common Multiple of 23/981, 17/565, 967/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/981, 17/565, 967/720 quickly i.e. 378097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/981, 17/565, 967/720 is 378097.

LCM(23/981, 17/565, 967/720) = 378097

LCM of 23/981, 17/565, 967/720

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 23/981,17/565,967/720

Given numbers are 23/981,17/565,967/720

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 23,17,967

Least Common Multiple of Numerators i.e. LCM of 23,17,967 is 378097.

GCF of Denominators means GCF of 981,565,720 as per the given fractions.

GCF of 981,565,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,17,967

LCM of Fractions 23/981,17/565,967/720 is 378097

Given numbers has no common factors except 1. So, there LCM is their product i.e 378097

Least Common Multiple of 23,17,967 with GCF Formula

Least Common Multiple of 23,17,967 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 23,17,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,17,967) = 1

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

GCF(23,17,967) x common factors =1 x 1 = 1

LCM(23,17,967) = ( 23 × 17 × 967 ) / 1

LCM(23,17,967) = 378097 / 1

LCM(23,17,967) = 378097


Lets's calculate GCF of 981,565,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378097/1

Therefore the LCM of Fractions 23/981,17/565,967/720 is 378097

Greatest Common Factor of 981,565,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,565,720 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 981,565,720 . The biggest common factor number is the GCF number.
So the greatest common factor 981,565,720 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 23/981, 17/565, 967/720

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 23/981, 17/565, 967/720?

Answer: LCM of Numerators as per given numbers 23/981, 17/565, 967/720 is

LCM of Numerators i.e. for 23,17,967 is 378097

GCF of denominators i.e. for 981,565,720 is 1.

Thus, LCM of Fractions is 378097.Finally, LCM of Fractions for 23/981, 17/565, 967/720 is 378097.