Least Common Multiple of 168/46, 617/3753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/46, 617/3753 quickly i.e. 103656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/46, 617/3753 is 103656.

LCM(168/46, 617/3753) = 103656

LCM of 168/46, 617/3753

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 168/46,617/3753

Given numbers are 168/46,617/3753

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 168,617

Least Common Multiple of Numerators i.e. LCM of 168,617 is 103656.

GCF of Denominators means GCF of 46,3753 as per the given fractions.

GCF of 46,3753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,617

LCM of Fractions 168/46,617/3753 is 103656

Given numbers has no common factors except 1. So, there LCM is their product i.e 103656

Least Common Multiple of 168,617 with GCF Formula

Least Common Multiple of 168,617 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 168,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,617) = 1

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

GCF(168,617) x common factors =1 x 1 = 1

LCM(168,617) = ( 168 × 617 ) / 1

LCM(168,617) = 103656 / 1

LCM(168,617) = 103656


Lets's calculate GCF of 46,3753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103656/1

Therefore the LCM of Fractions 168/46,617/3753 is 103656

Greatest Common Factor of 46,3753 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3753 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1,3,9,27,139,417,1251,3753

Greatest Common Factor

We found the factors 46,3753 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3753 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 168/46, 617/3753

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 168/46, 617/3753?

Answer: LCM of Numerators as per given numbers 168/46, 617/3753 is

LCM of Numerators i.e. for 168,617 is 103656

GCF of denominators i.e. for 46,3753 is 1.

Thus, LCM of Fractions is 103656.Finally, LCM of Fractions for 168/46, 617/3753 is 103656.