Least Common Multiple of 23/87, 98/34, 293/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/87, 98/34, 293/965 quickly i.e. 660422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/87, 98/34, 293/965 is 660422.

LCM(23/87, 98/34, 293/965) = 660422

LCM of 23/87, 98/34, 293/965

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 23/87,98/34,293/965

Given numbers are 23/87,98/34,293/965

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 23,98,293

Least Common Multiple of Numerators i.e. LCM of 23,98,293 is 660422.

GCF of Denominators means GCF of 87,34,965 as per the given fractions.

GCF of 87,34,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,98,293

LCM of Fractions 23/87,98/34,293/965 is 660422

Given numbers has no common factors except 1. So, there LCM is their product i.e 660422

Least Common Multiple of 23,98,293 with GCF Formula

Least Common Multiple of 23,98,293 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 23,98,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,98,293) = 1

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

GCF(23,98,293) x common factors =1 x 1 = 1

LCM(23,98,293) = ( 23 × 98 × 293 ) / 1

LCM(23,98,293) = 660422 / 1

LCM(23,98,293) = 660422


Lets's calculate GCF of 87,34,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 660422/1

Therefore the LCM of Fractions 23/87,98/34,293/965 is 660422

Greatest Common Factor of 87,34,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,34,965 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 87,34,965 . The biggest common factor number is the GCF number.
So the greatest common factor 87,34,965 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/87, 98/34, 293/965

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 23/87, 98/34, 293/965?

Answer: LCM of Numerators as per given numbers 23/87, 98/34, 293/965 is

LCM of Numerators i.e. for 23,98,293 is 660422

GCF of denominators i.e. for 87,34,965 is 1.

Thus, LCM of Fractions is 660422.Finally, LCM of Fractions for 23/87, 98/34, 293/965 is 660422.