Least Common Multiple of 3494/371, 4909/6901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3494/371, 4909/6901 quickly i.e. 17152046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3494/371, 4909/6901 is 17152046.

LCM(3494/371, 4909/6901) = 17152046

LCM of 3494/371, 4909/6901

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 3494/371,4909/6901

Given numbers are 3494/371,4909/6901

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 3494,4909

Least Common Multiple of Numerators i.e. LCM of 3494,4909 is 17152046.

GCF of Denominators means GCF of 371,6901 as per the given fractions.

GCF of 371,6901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3494,4909

LCM of Fractions 3494/371,4909/6901 is 17152046

Given numbers has no common factors except 1. So, there LCM is their product i.e 17152046

Least Common Multiple of 3494,4909 with GCF Formula

Least Common Multiple of 3494,4909 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 3494,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3494,4909) = 1

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

GCF(3494,4909) x common factors =1 x 1 = 1

LCM(3494,4909) = ( 3494 × 4909 ) / 1

LCM(3494,4909) = 17152046 / 1

LCM(3494,4909) = 17152046


Lets's calculate GCF of 371,6901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17152046/1

Therefore the LCM of Fractions 3494/371,4909/6901 is 17152046

Greatest Common Factor of 371,6901 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,6901 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 6901

List of positive integer factors of 6901 that divides 6901 without a remainder.

1,67,103,6901

Greatest Common Factor

We found the factors 371,6901 . The biggest common factor number is the GCF number.
So the greatest common factor 371,6901 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 3494/371, 4909/6901

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 3494/371, 4909/6901?

Answer: LCM of Numerators as per given numbers 3494/371, 4909/6901 is

LCM of Numerators i.e. for 3494,4909 is 17152046

GCF of denominators i.e. for 371,6901 is 1.

Thus, LCM of Fractions is 17152046.Finally, LCM of Fractions for 3494/371, 4909/6901 is 17152046.