Least Common Multiple of 1042/970, 9609/3213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1042/970, 9609/3213 quickly i.e. 10012578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1042/970, 9609/3213 is 10012578.

LCM(1042/970, 9609/3213) = 10012578

LCM of 1042/970, 9609/3213

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 1042/970,9609/3213

Given numbers are 1042/970,9609/3213

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 1042,9609

Least Common Multiple of Numerators i.e. LCM of 1042,9609 is 10012578.

GCF of Denominators means GCF of 970,3213 as per the given fractions.

GCF of 970,3213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1042,9609

LCM of Fractions 1042/970,9609/3213 is 10012578

Given numbers has no common factors except 1. So, there LCM is their product i.e 10012578

Least Common Multiple of 1042,9609 with GCF Formula

Least Common Multiple of 1042,9609 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 1042,9609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1042,9609) = 1

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

GCF(1042,9609) x common factors =1 x 1 = 1

LCM(1042,9609) = ( 1042 × 9609 ) / 1

LCM(1042,9609) = 10012578 / 1

LCM(1042,9609) = 10012578


Lets's calculate GCF of 970,3213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10012578/1

Therefore the LCM of Fractions 1042/970,9609/3213 is 10012578

Greatest Common Factor of 970,3213 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,3213 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 3213

List of positive integer factors of 3213 that divides 3213 without a remainder.

1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213

Greatest Common Factor

We found the factors 970,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 970,3213 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 1042/970, 9609/3213

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 1042/970, 9609/3213?

Answer: LCM of Numerators as per given numbers 1042/970, 9609/3213 is

LCM of Numerators i.e. for 1042,9609 is 10012578

GCF of denominators i.e. for 970,3213 is 1.

Thus, LCM of Fractions is 10012578.Finally, LCM of Fractions for 1042/970, 9609/3213 is 10012578.