Least Common Multiple of 785/170, 9099/1135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/170, 9099/1135 quickly i.e. 1428543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/170, 9099/1135 is 1428543.

LCM(785/170, 9099/1135) = 1428543

LCM of 785/170, 9099/1135

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 785/170,9099/1135

Given numbers are 785/170,9099/1135

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 785,9099

Least Common Multiple of Numerators i.e. LCM of 785,9099 is 7142715.

GCF of Denominators means GCF of 170,1135 as per the given fractions.

GCF of 170,1135 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,9099

LCM of Fractions 785/170,9099/1135 is 1428543

Given numbers has no common factors except 1. So, there LCM is their product i.e 7142715

Least Common Multiple of 785,9099 with GCF Formula

Least Common Multiple of 785,9099 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 785,9099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,9099) = 1

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

GCF(785,9099) x common factors =1 x 1 = 1

LCM(785,9099) = ( 785 × 9099 ) / 1

LCM(785,9099) = 7142715 / 1

LCM(785,9099) = 7142715


Lets's calculate GCF of 170,1135

5 170, 1135
34, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7142715/5

Therefore the LCM of Fractions 785/170,9099/1135 is 1428543

Greatest Common Factor of 170,1135 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,1135 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 1135

List of positive integer factors of 1135 that divides 1135 without a remainder.

1,5,227,1135

Greatest Common Factor

We found the factors 170,1135 . The biggest common factor number is the GCF number.
So the greatest common factor 170,1135 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 785/170, 9099/1135

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 785/170, 9099/1135?

Answer: LCM of Numerators as per given numbers 785/170, 9099/1135 is

LCM of Numerators i.e. for 785,9099 is 7142715

GCF of denominators i.e. for 170,1135 is 5.

Thus, LCM of Fractions is 1428543.Finally, LCM of Fractions for 785/170, 9099/1135 is 1428543.