Least Common Multiple of 89/716, 674/113, 717/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/716, 674/113, 717/320 quickly i.e. 43009962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/716, 674/113, 717/320 is 43009962.

LCM(89/716, 674/113, 717/320) = 43009962

LCM of 89/716, 674/113, 717/320

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 89/716,674/113,717/320

Given numbers are 89/716,674/113,717/320

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 89,674,717

Least Common Multiple of Numerators i.e. LCM of 89,674,717 is 43009962.

GCF of Denominators means GCF of 716,113,320 as per the given fractions.

GCF of 716,113,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,674,717

LCM of Fractions 89/716,674/113,717/320 is 43009962

Given numbers has no common factors except 1. So, there LCM is their product i.e 43009962

Least Common Multiple of 89,674,717 with GCF Formula

Least Common Multiple of 89,674,717 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 89,674,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,674,717) = 1

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

GCF(89,674,717) x common factors =1 x 1 = 1

LCM(89,674,717) = ( 89 × 674 × 717 ) / 1

LCM(89,674,717) = 43009962 / 1

LCM(89,674,717) = 43009962


Lets's calculate GCF of 716,113,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43009962/1

Therefore the LCM of Fractions 89/716,674/113,717/320 is 43009962

Greatest Common Factor of 716,113,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,113,320 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 716,113,320 . The biggest common factor number is the GCF number.
So the greatest common factor 716,113,320 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 89/716, 674/113, 717/320

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 89/716, 674/113, 717/320?

Answer: LCM of Numerators as per given numbers 89/716, 674/113, 717/320 is

LCM of Numerators i.e. for 89,674,717 is 43009962

GCF of denominators i.e. for 716,113,320 is 1.

Thus, LCM of Fractions is 43009962.Finally, LCM of Fractions for 89/716, 674/113, 717/320 is 43009962.