Least Common Multiple of 622/682, 2390/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 622/682, 2390/144 quickly i.e. 371645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/682, 2390/144 is 371645.

LCM(622/682, 2390/144) = 371645

LCM of 622/682, 2390/144

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 622/682,2390/144

Given numbers are 622/682,2390/144

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 622,2390

Least Common Multiple of Numerators i.e. LCM of 622,2390 is 743290.

GCF of Denominators means GCF of 682,144 as per the given fractions.

GCF of 682,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,2390

LCM of Fractions 622/682,2390/144 is 371645

2 622, 2390
311, 1195

∴ So the LCM of the given numbers is 2 x 311 x 1195 = 743290

Least Common Multiple of 622,2390 with GCF Formula

Least Common Multiple of 622,2390 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 622,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,2390) = 2

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

GCF(622,2390) x common factors =2 x 1 = 2

LCM(622,2390) = ( 622 × 2390 ) / 2

LCM(622,2390) = 1486580 / 2

LCM(622,2390) = 743290


Lets's calculate GCF of 682,144

2 682, 144
341, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743290/2

Therefore the LCM of Fractions 622/682,2390/144 is 371645

Greatest Common Factor of 682,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,144 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 682,144 . The biggest common factor number is the GCF number.
So the greatest common factor 682,144 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 622/682, 2390/144

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 622/682, 2390/144?

Answer: LCM of Numerators as per given numbers 622/682, 2390/144 is

LCM of Numerators i.e. for 622,2390 is 743290

GCF of denominators i.e. for 682,144 is 2.

Thus, LCM of Fractions is 371645.Finally, LCM of Fractions for 622/682, 2390/144 is 371645.