Least Common Multiple of 9989/34, 8506/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9989/34, 8506/759 quickly i.e. 84966434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9989/34, 8506/759 is 84966434.

LCM(9989/34, 8506/759) = 84966434

LCM of 9989/34, 8506/759

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 9989/34,8506/759

Given numbers are 9989/34,8506/759

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 9989,8506

Least Common Multiple of Numerators i.e. LCM of 9989,8506 is 84966434.

GCF of Denominators means GCF of 34,759 as per the given fractions.

GCF of 34,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9989,8506

LCM of Fractions 9989/34,8506/759 is 84966434

Given numbers has no common factors except 1. So, there LCM is their product i.e 84966434

Least Common Multiple of 9989,8506 with GCF Formula

Least Common Multiple of 9989,8506 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 9989,8506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9989,8506) = 1

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

GCF(9989,8506) x common factors =1 x 1 = 1

LCM(9989,8506) = ( 9989 × 8506 ) / 1

LCM(9989,8506) = 84966434 / 1

LCM(9989,8506) = 84966434


Lets's calculate GCF of 34,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84966434/1

Therefore the LCM of Fractions 9989/34,8506/759 is 84966434

Greatest Common Factor of 34,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,759 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 34,759 . The biggest common factor number is the GCF number.
So the greatest common factor 34,759 is 1.


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 9989/34, 8506/759

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 9989/34, 8506/759?

Answer: LCM of Numerators as per given numbers 9989/34, 8506/759 is

LCM of Numerators i.e. for 9989,8506 is 84966434

GCF of denominators i.e. for 34,759 is 1.

Thus, LCM of Fractions is 84966434.Finally, LCM of Fractions for 9989/34, 8506/759 is 84966434.