Least Common Multiple of 66/674, 3292/6310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/674, 3292/6310 quickly i.e. 54318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/674, 3292/6310 is 54318.

LCM(66/674, 3292/6310) = 54318

LCM of 66/674, 3292/6310

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 66/674,3292/6310

Given numbers are 66/674,3292/6310

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 66,3292

Least Common Multiple of Numerators i.e. LCM of 66,3292 is 108636.

GCF of Denominators means GCF of 674,6310 as per the given fractions.

GCF of 674,6310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,3292

LCM of Fractions 66/674,3292/6310 is 54318

2 66, 3292
33, 1646

∴ So the LCM of the given numbers is 2 x 33 x 1646 = 108636

Least Common Multiple of 66,3292 with GCF Formula

Least Common Multiple of 66,3292 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 66,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,3292) = 2

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

GCF(66,3292) x common factors =2 x 1 = 2

LCM(66,3292) = ( 66 × 3292 ) / 2

LCM(66,3292) = 217272 / 2

LCM(66,3292) = 108636


Lets's calculate GCF of 674,6310

2 674, 6310
337, 3155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108636/2

Therefore the LCM of Fractions 66/674,3292/6310 is 54318

Greatest Common Factor of 674,6310 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,6310 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1,2,5,10,631,1262,3155,6310

Greatest Common Factor

We found the factors 674,6310 . The biggest common factor number is the GCF number.
So the greatest common factor 674,6310 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 66/674, 3292/6310

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 66/674, 3292/6310?

Answer: LCM of Numerators as per given numbers 66/674, 3292/6310 is

LCM of Numerators i.e. for 66,3292 is 108636

GCF of denominators i.e. for 674,6310 is 2.

Thus, LCM of Fractions is 54318.Finally, LCM of Fractions for 66/674, 3292/6310 is 54318.