Least Common Multiple of 3753/68, 7627/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3753/68, 7627/842 quickly i.e. 28624131/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3753/68, 7627/842 is 28624131/2.

LCM(3753/68, 7627/842) = 28624131/2

LCM of 3753/68, 7627/842

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 3753/68,7627/842

Given numbers are 3753/68,7627/842

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 3753,7627

Least Common Multiple of Numerators i.e. LCM of 3753,7627 is 28624131.

GCF of Denominators means GCF of 68,842 as per the given fractions.

GCF of 68,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3753,7627

LCM of Fractions 3753/68,7627/842 is 28624131/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 28624131

Least Common Multiple of 3753,7627 with GCF Formula

Least Common Multiple of 3753,7627 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 3753,7627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3753,7627) = 1

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

GCF(3753,7627) x common factors =1 x 1 = 1

LCM(3753,7627) = ( 3753 × 7627 ) / 1

LCM(3753,7627) = 28624131 / 1

LCM(3753,7627) = 28624131


Lets's calculate GCF of 68,842

2 68, 842
34, 421

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28624131/2

Therefore the LCM of Fractions 3753/68,7627/842 is 28624131/2

Greatest Common Factor of 68,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,842 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 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 68,842 . The biggest common factor number is the GCF number.
So the greatest common factor 68,842 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3753/68, 7627/842

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 3753/68, 7627/842?

Answer: LCM of Numerators as per given numbers 3753/68, 7627/842 is

LCM of Numerators i.e. for 3753,7627 is 28624131

GCF of denominators i.e. for 68,842 is 2.

Thus, LCM of Fractions is 28624131/2.Finally, LCM of Fractions for 3753/68, 7627/842 is 28624131/2.