Least Common Multiple of 29/717, 9678/9973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/717, 9678/9973 quickly i.e. 280662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/717, 9678/9973 is 280662.

LCM(29/717, 9678/9973) = 280662

LCM of 29/717, 9678/9973

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 29/717,9678/9973

Given numbers are 29/717,9678/9973

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 29,9678

Least Common Multiple of Numerators i.e. LCM of 29,9678 is 280662.

GCF of Denominators means GCF of 717,9973 as per the given fractions.

GCF of 717,9973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,9678

LCM of Fractions 29/717,9678/9973 is 280662

Given numbers has no common factors except 1. So, there LCM is their product i.e 280662

Least Common Multiple of 29,9678 with GCF Formula

Least Common Multiple of 29,9678 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 29,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,9678) = 1

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

GCF(29,9678) x common factors =1 x 1 = 1

LCM(29,9678) = ( 29 × 9678 ) / 1

LCM(29,9678) = 280662 / 1

LCM(29,9678) = 280662


Lets's calculate GCF of 717,9973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280662/1

Therefore the LCM of Fractions 29/717,9678/9973 is 280662

Greatest Common Factor of 717,9973 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,9973 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 9973

List of positive integer factors of 9973 that divides 9973 without a remainder.

1,9973

Greatest Common Factor

We found the factors 717,9973 . The biggest common factor number is the GCF number.
So the greatest common factor 717,9973 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/717, 9678/9973

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 29/717, 9678/9973?

Answer: LCM of Numerators as per given numbers 29/717, 9678/9973 is

LCM of Numerators i.e. for 29,9678 is 280662

GCF of denominators i.e. for 717,9973 is 1.

Thus, LCM of Fractions is 280662.Finally, LCM of Fractions for 29/717, 9678/9973 is 280662.