Least Common Multiple of 1701/396, 9708/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1701/396, 9708/436 quickly i.e. 1376109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1701/396, 9708/436 is 1376109.

LCM(1701/396, 9708/436) = 1376109

LCM of 1701/396, 9708/436

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 1701/396,9708/436

Given numbers are 1701/396,9708/436

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 1701,9708

Least Common Multiple of Numerators i.e. LCM of 1701,9708 is 5504436.

GCF of Denominators means GCF of 396,436 as per the given fractions.

GCF of 396,436 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1701,9708

LCM of Fractions 1701/396,9708/436 is 1376109

3 1701, 9708
567, 3236

∴ So the LCM of the given numbers is 3 x 567 x 3236 = 5504436

Least Common Multiple of 1701,9708 with GCF Formula

Least Common Multiple of 1701,9708 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 1701,9708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1701,9708) = 3

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

GCF(1701,9708) x common factors =3 x 1 = 3

LCM(1701,9708) = ( 1701 × 9708 ) / 3

LCM(1701,9708) = 16513308 / 3

LCM(1701,9708) = 5504436


Lets's calculate GCF of 396,436

2 396, 436
2 198, 218
99, 109

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5504436/4

Therefore the LCM of Fractions 1701/396,9708/436 is 1376109

Greatest Common Factor of 396,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,436 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 396,436 . The biggest common factor number is the GCF number.
So the greatest common factor 396,436 is 4.


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 1701/396, 9708/436

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 1701/396, 9708/436?

Answer: LCM of Numerators as per given numbers 1701/396, 9708/436 is

LCM of Numerators i.e. for 1701,9708 is 5504436

GCF of denominators i.e. for 396,436 is 4.

Thus, LCM of Fractions is 1376109.Finally, LCM of Fractions for 1701/396, 9708/436 is 1376109.