Least Common Multiple of 3369/670, 7064/6778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3369/670, 7064/6778 quickly i.e. 11899308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3369/670, 7064/6778 is 11899308.

LCM(3369/670, 7064/6778) = 11899308

LCM of 3369/670, 7064/6778

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 3369/670,7064/6778

Given numbers are 3369/670,7064/6778

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 3369,7064

Least Common Multiple of Numerators i.e. LCM of 3369,7064 is 23798616.

GCF of Denominators means GCF of 670,6778 as per the given fractions.

GCF of 670,6778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3369,7064

LCM of Fractions 3369/670,7064/6778 is 11899308

Given numbers has no common factors except 1. So, there LCM is their product i.e 23798616

Least Common Multiple of 3369,7064 with GCF Formula

Least Common Multiple of 3369,7064 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 3369,7064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3369,7064) = 1

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

GCF(3369,7064) x common factors =1 x 1 = 1

LCM(3369,7064) = ( 3369 × 7064 ) / 1

LCM(3369,7064) = 23798616 / 1

LCM(3369,7064) = 23798616


Lets's calculate GCF of 670,6778

2 670, 6778
335, 3389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23798616/2

Therefore the LCM of Fractions 3369/670,7064/6778 is 11899308

Greatest Common Factor of 670,6778 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,6778 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 6778

List of positive integer factors of 6778 that divides 6778 without a remainder.

1,2,3389,6778

Greatest Common Factor

We found the factors 670,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 670,6778 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 3369/670, 7064/6778

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 3369/670, 7064/6778?

Answer: LCM of Numerators as per given numbers 3369/670, 7064/6778 is

LCM of Numerators i.e. for 3369,7064 is 23798616

GCF of denominators i.e. for 670,6778 is 2.

Thus, LCM of Fractions is 11899308.Finally, LCM of Fractions for 3369/670, 7064/6778 is 11899308.