Least Common Multiple of 9861/340, 8607/8500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9861/340, 8607/8500 quickly i.e. 1489011/340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9861/340, 8607/8500 is 1489011/340.

LCM(9861/340, 8607/8500) = 1489011/340

LCM of 9861/340, 8607/8500

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 9861/340,8607/8500

Given numbers are 9861/340,8607/8500

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 9861,8607

Least Common Multiple of Numerators i.e. LCM of 9861,8607 is 1489011.

GCF of Denominators means GCF of 340,8500 as per the given fractions.

GCF of 340,8500 is 340 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9861,8607

LCM of Fractions 9861/340,8607/8500 is 1489011/340

3 9861, 8607
19 3287, 2869
173, 151

∴ So the LCM of the given numbers is 3 x 19 x 173 x 151 = 1489011

Least Common Multiple of 9861,8607 with GCF Formula

Least Common Multiple of 9861,8607 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 9861,8607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9861,8607) = 57

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

GCF(9861,8607) x common factors =57 x 1 = 57

LCM(9861,8607) = ( 9861 × 8607 ) / 57

LCM(9861,8607) = 84873627 / 57

LCM(9861,8607) = 1489011


Lets's calculate GCF of 340,8500

2 340, 8500
2 170, 4250
5 85, 2125
17 17, 425
1, 25

∴ So the GCF of the given numbers is 2 x 2 x 5 x 17 = 340

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1489011/340

Therefore the LCM of Fractions 9861/340,8607/8500 is 1489011/340

Greatest Common Factor of 340,8500 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,8500 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500

Greatest Common Factor

We found the factors 340,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 340,8500 is 340.


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 9861/340, 8607/8500

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 9861/340, 8607/8500?

Answer: LCM of Numerators as per given numbers 9861/340, 8607/8500 is

LCM of Numerators i.e. for 9861,8607 is 1489011

GCF of denominators i.e. for 340,8500 is 340.

Thus, LCM of Fractions is 1489011/340.Finally, LCM of Fractions for 9861/340, 8607/8500 is 1489011/340.