Least Common Multiple of 9965/682, 6754/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9965/682, 6754/954 quickly i.e. 33651805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9965/682, 6754/954 is 33651805.

LCM(9965/682, 6754/954) = 33651805

LCM of 9965/682, 6754/954

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 9965/682,6754/954

Given numbers are 9965/682,6754/954

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 9965,6754

Least Common Multiple of Numerators i.e. LCM of 9965,6754 is 67303610.

GCF of Denominators means GCF of 682,954 as per the given fractions.

GCF of 682,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9965,6754

LCM of Fractions 9965/682,6754/954 is 33651805

Given numbers has no common factors except 1. So, there LCM is their product i.e 67303610

Least Common Multiple of 9965,6754 with GCF Formula

Least Common Multiple of 9965,6754 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 9965,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9965,6754) = 1

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

GCF(9965,6754) x common factors =1 x 1 = 1

LCM(9965,6754) = ( 9965 × 6754 ) / 1

LCM(9965,6754) = 67303610 / 1

LCM(9965,6754) = 67303610


Lets's calculate GCF of 682,954

2 682, 954
341, 477

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67303610/2

Therefore the LCM of Fractions 9965/682,6754/954 is 33651805

Greatest Common Factor of 682,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,954 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 682,954 . The biggest common factor number is the GCF number.
So the greatest common factor 682,954 is 2.


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 9965/682, 6754/954

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 9965/682, 6754/954?

Answer: LCM of Numerators as per given numbers 9965/682, 6754/954 is

LCM of Numerators i.e. for 9965,6754 is 67303610

GCF of denominators i.e. for 682,954 is 2.

Thus, LCM of Fractions is 33651805.Finally, LCM of Fractions for 9965/682, 6754/954 is 33651805.