Least Common Multiple of 717/85, 280/8085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/85, 280/8085 quickly i.e. 40152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/85, 280/8085 is 40152.

LCM(717/85, 280/8085) = 40152

LCM of 717/85, 280/8085

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 717/85,280/8085

Given numbers are 717/85,280/8085

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 717,280

Least Common Multiple of Numerators i.e. LCM of 717,280 is 200760.

GCF of Denominators means GCF of 85,8085 as per the given fractions.

GCF of 85,8085 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,280

LCM of Fractions 717/85,280/8085 is 40152

Given numbers has no common factors except 1. So, there LCM is their product i.e 200760

Least Common Multiple of 717,280 with GCF Formula

Least Common Multiple of 717,280 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 717,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,280) = 1

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

GCF(717,280) x common factors =1 x 1 = 1

LCM(717,280) = ( 717 × 280 ) / 1

LCM(717,280) = 200760 / 1

LCM(717,280) = 200760


Lets's calculate GCF of 85,8085

5 85, 8085
17, 1617

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200760/5

Therefore the LCM of Fractions 717/85,280/8085 is 40152

Greatest Common Factor of 85,8085 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,8085 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085

Greatest Common Factor

We found the factors 85,8085 . The biggest common factor number is the GCF number.
So the greatest common factor 85,8085 is 5.


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 717/85, 280/8085

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 717/85, 280/8085?

Answer: LCM of Numerators as per given numbers 717/85, 280/8085 is

LCM of Numerators i.e. for 717,280 is 200760

GCF of denominators i.e. for 85,8085 is 5.

Thus, LCM of Fractions is 40152.Finally, LCM of Fractions for 717/85, 280/8085 is 40152.