Least Common Multiple of 9789/689, 5109/6481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9789/689, 5109/6481 quickly i.e. 1282359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9789/689, 5109/6481 is 1282359.

LCM(9789/689, 5109/6481) = 1282359

LCM of 9789/689, 5109/6481

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 9789/689,5109/6481

Given numbers are 9789/689,5109/6481

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 9789,5109

Least Common Multiple of Numerators i.e. LCM of 9789,5109 is 1282359.

GCF of Denominators means GCF of 689,6481 as per the given fractions.

GCF of 689,6481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9789,5109

LCM of Fractions 9789/689,5109/6481 is 1282359

3 9789, 5109
13 3263, 1703
251, 131

∴ So the LCM of the given numbers is 3 x 13 x 251 x 131 = 1282359

Least Common Multiple of 9789,5109 with GCF Formula

Least Common Multiple of 9789,5109 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 9789,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9789,5109) = 39

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

GCF(9789,5109) x common factors =39 x 1 = 39

LCM(9789,5109) = ( 9789 × 5109 ) / 39

LCM(9789,5109) = 50012001 / 39

LCM(9789,5109) = 1282359


Lets's calculate GCF of 689,6481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1282359/1

Therefore the LCM of Fractions 9789/689,5109/6481 is 1282359

Greatest Common Factor of 689,6481 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,6481 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 6481

List of positive integer factors of 6481 that divides 6481 without a remainder.

1,6481

Greatest Common Factor

We found the factors 689,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 689,6481 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 9789/689, 5109/6481

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 9789/689, 5109/6481?

Answer: LCM of Numerators as per given numbers 9789/689, 5109/6481 is

LCM of Numerators i.e. for 9789,5109 is 1282359

GCF of denominators i.e. for 689,6481 is 1.

Thus, LCM of Fractions is 1282359.Finally, LCM of Fractions for 9789/689, 5109/6481 is 1282359.