Least Common Multiple of 3353/140, 9698/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3353/140, 9698/390 quickly i.e. 32517394/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3353/140, 9698/390 is 32517394/10.

LCM(3353/140, 9698/390) = 32517394/10

LCM of 3353/140, 9698/390

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 3353/140,9698/390

Given numbers are 3353/140,9698/390

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 3353,9698

Least Common Multiple of Numerators i.e. LCM of 3353,9698 is 32517394.

GCF of Denominators means GCF of 140,390 as per the given fractions.

GCF of 140,390 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3353,9698

LCM of Fractions 3353/140,9698/390 is 32517394/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 32517394

Least Common Multiple of 3353,9698 with GCF Formula

Least Common Multiple of 3353,9698 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 3353,9698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3353,9698) = 1

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

GCF(3353,9698) x common factors =1 x 1 = 1

LCM(3353,9698) = ( 3353 × 9698 ) / 1

LCM(3353,9698) = 32517394 / 1

LCM(3353,9698) = 32517394


Lets's calculate GCF of 140,390

2 140, 390
5 70, 195
14, 39

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32517394/10

Therefore the LCM of Fractions 3353/140,9698/390 is 32517394/10

Greatest Common Factor of 140,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,390 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 140,390 . The biggest common factor number is the GCF number.
So the greatest common factor 140,390 is 10.


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 3353/140, 9698/390

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 3353/140, 9698/390?

Answer: LCM of Numerators as per given numbers 3353/140, 9698/390 is

LCM of Numerators i.e. for 3353,9698 is 32517394

GCF of denominators i.e. for 140,390 is 10.

Thus, LCM of Fractions is 32517394/10.Finally, LCM of Fractions for 3353/140, 9698/390 is 32517394/10.