Least Common Multiple of 1679/35, 9646/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1679/35, 9646/396 quickly i.e. 16195634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1679/35, 9646/396 is 16195634.

LCM(1679/35, 9646/396) = 16195634

LCM of 1679/35, 9646/396

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 1679/35,9646/396

Given numbers are 1679/35,9646/396

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 1679,9646

Least Common Multiple of Numerators i.e. LCM of 1679,9646 is 16195634.

GCF of Denominators means GCF of 35,396 as per the given fractions.

GCF of 35,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1679,9646

LCM of Fractions 1679/35,9646/396 is 16195634

Given numbers has no common factors except 1. So, there LCM is their product i.e 16195634

Least Common Multiple of 1679,9646 with GCF Formula

Least Common Multiple of 1679,9646 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 1679,9646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1679,9646) = 1

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

GCF(1679,9646) x common factors =1 x 1 = 1

LCM(1679,9646) = ( 1679 × 9646 ) / 1

LCM(1679,9646) = 16195634 / 1

LCM(1679,9646) = 16195634


Lets's calculate GCF of 35,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16195634/1

Therefore the LCM of Fractions 1679/35,9646/396 is 16195634

Greatest Common Factor of 35,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,396 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

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

Greatest Common Factor

We found the factors 35,396 . The biggest common factor number is the GCF number.
So the greatest common factor 35,396 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 1679/35, 9646/396

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 1679/35, 9646/396?

Answer: LCM of Numerators as per given numbers 1679/35, 9646/396 is

LCM of Numerators i.e. for 1679,9646 is 16195634

GCF of denominators i.e. for 35,396 is 1.

Thus, LCM of Fractions is 16195634.Finally, LCM of Fractions for 1679/35, 9646/396 is 16195634.