Least Common Multiple of 7270/344, 6443/3702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7270/344, 6443/3702 quickly i.e. 23420305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7270/344, 6443/3702 is 23420305.

LCM(7270/344, 6443/3702) = 23420305

LCM of 7270/344, 6443/3702

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 7270/344,6443/3702

Given numbers are 7270/344,6443/3702

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 7270,6443

Least Common Multiple of Numerators i.e. LCM of 7270,6443 is 46840610.

GCF of Denominators means GCF of 344,3702 as per the given fractions.

GCF of 344,3702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7270,6443

LCM of Fractions 7270/344,6443/3702 is 23420305

Given numbers has no common factors except 1. So, there LCM is their product i.e 46840610

Least Common Multiple of 7270,6443 with GCF Formula

Least Common Multiple of 7270,6443 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 7270,6443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7270,6443) = 1

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

GCF(7270,6443) x common factors =1 x 1 = 1

LCM(7270,6443) = ( 7270 × 6443 ) / 1

LCM(7270,6443) = 46840610 / 1

LCM(7270,6443) = 46840610


Lets's calculate GCF of 344,3702

2 344, 3702
172, 1851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46840610/2

Therefore the LCM of Fractions 7270/344,6443/3702 is 23420305

Greatest Common Factor of 344,3702 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,3702 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1,2,3,6,617,1234,1851,3702

Greatest Common Factor

We found the factors 344,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 344,3702 is 2.


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 7270/344, 6443/3702

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 7270/344, 6443/3702?

Answer: LCM of Numerators as per given numbers 7270/344, 6443/3702 is

LCM of Numerators i.e. for 7270,6443 is 46840610

GCF of denominators i.e. for 344,3702 is 2.

Thus, LCM of Fractions is 23420305.Finally, LCM of Fractions for 7270/344, 6443/3702 is 23420305.