Least Common Multiple of 3245/332, 1353/6862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3245/332, 1353/6862 quickly i.e. 399135/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3245/332, 1353/6862 is 399135/2.

LCM(3245/332, 1353/6862) = 399135/2

LCM of 3245/332, 1353/6862

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 3245/332,1353/6862

Given numbers are 3245/332,1353/6862

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 3245,1353

Least Common Multiple of Numerators i.e. LCM of 3245,1353 is 399135.

GCF of Denominators means GCF of 332,6862 as per the given fractions.

GCF of 332,6862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3245,1353

LCM of Fractions 3245/332,1353/6862 is 399135/2

11 3245, 1353
295, 123

∴ So the LCM of the given numbers is 11 x 295 x 123 = 399135

Least Common Multiple of 3245,1353 with GCF Formula

Least Common Multiple of 3245,1353 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 3245,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3245,1353) = 11

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

GCF(3245,1353) x common factors =11 x 1 = 11

LCM(3245,1353) = ( 3245 × 1353 ) / 11

LCM(3245,1353) = 4390485 / 11

LCM(3245,1353) = 399135


Lets's calculate GCF of 332,6862

2 332, 6862
166, 3431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399135/2

Therefore the LCM of Fractions 3245/332,1353/6862 is 399135/2

Greatest Common Factor of 332,6862 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,6862 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 6862

List of positive integer factors of 6862 that divides 6862 without a remainder.

1,2,47,73,94,146,3431,6862

Greatest Common Factor

We found the factors 332,6862 . The biggest common factor number is the GCF number.
So the greatest common factor 332,6862 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3245/332, 1353/6862

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 3245/332, 1353/6862?

Answer: LCM of Numerators as per given numbers 3245/332, 1353/6862 is

LCM of Numerators i.e. for 3245,1353 is 399135

GCF of denominators i.e. for 332,6862 is 2.

Thus, LCM of Fractions is 399135/2.Finally, LCM of Fractions for 3245/332, 1353/6862 is 399135/2.