Least Common Multiple of 617/68, 493/3501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/68, 493/3501 quickly i.e. 304181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/68, 493/3501 is 304181.

LCM(617/68, 493/3501) = 304181

LCM of 617/68, 493/3501

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 617/68,493/3501

Given numbers are 617/68,493/3501

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 617,493

Least Common Multiple of Numerators i.e. LCM of 617,493 is 304181.

GCF of Denominators means GCF of 68,3501 as per the given fractions.

GCF of 68,3501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,493

LCM of Fractions 617/68,493/3501 is 304181

Given numbers has no common factors except 1. So, there LCM is their product i.e 304181

Least Common Multiple of 617,493 with GCF Formula

Least Common Multiple of 617,493 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 617,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,493) = 1

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

GCF(617,493) x common factors =1 x 1 = 1

LCM(617,493) = ( 617 × 493 ) / 1

LCM(617,493) = 304181 / 1

LCM(617,493) = 304181


Lets's calculate GCF of 68,3501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304181/1

Therefore the LCM of Fractions 617/68,493/3501 is 304181

Greatest Common Factor of 68,3501 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,3501 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 3501

List of positive integer factors of 3501 that divides 3501 without a remainder.

1,3,9,389,1167,3501

Greatest Common Factor

We found the factors 68,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 68,3501 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 617/68, 493/3501

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 617/68, 493/3501?

Answer: LCM of Numerators as per given numbers 617/68, 493/3501 is

LCM of Numerators i.e. for 617,493 is 304181

GCF of denominators i.e. for 68,3501 is 1.

Thus, LCM of Fractions is 304181.Finally, LCM of Fractions for 617/68, 493/3501 is 304181.