Least Common Multiple of 7349/322, 5659/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7349/322, 5659/621 quickly i.e. 41587991/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7349/322, 5659/621 is 41587991/23.

LCM(7349/322, 5659/621) = 41587991/23

LCM of 7349/322, 5659/621

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 7349/322,5659/621

Given numbers are 7349/322,5659/621

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 7349,5659

Least Common Multiple of Numerators i.e. LCM of 7349,5659 is 41587991.

GCF of Denominators means GCF of 322,621 as per the given fractions.

GCF of 322,621 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7349,5659

LCM of Fractions 7349/322,5659/621 is 41587991/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 41587991

Least Common Multiple of 7349,5659 with GCF Formula

Least Common Multiple of 7349,5659 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 7349,5659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7349,5659) = 1

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

GCF(7349,5659) x common factors =1 x 1 = 1

LCM(7349,5659) = ( 7349 × 5659 ) / 1

LCM(7349,5659) = 41587991 / 1

LCM(7349,5659) = 41587991


Lets's calculate GCF of 322,621

23 322, 621
14, 27

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41587991/23

Therefore the LCM of Fractions 7349/322,5659/621 is 41587991/23

Greatest Common Factor of 322,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,621 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 322,621 . The biggest common factor number is the GCF number.
So the greatest common factor 322,621 is 23.


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 7349/322, 5659/621

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 7349/322, 5659/621?

Answer: LCM of Numerators as per given numbers 7349/322, 5659/621 is

LCM of Numerators i.e. for 7349,5659 is 41587991

GCF of denominators i.e. for 322,621 is 23.

Thus, LCM of Fractions is 41587991/23.Finally, LCM of Fractions for 7349/322, 5659/621 is 41587991/23.