Least Common Multiple of 722/230, 9084/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/230, 9084/202 quickly i.e. 1639662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/230, 9084/202 is 1639662.

LCM(722/230, 9084/202) = 1639662

LCM of 722/230, 9084/202

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 722/230,9084/202

Given numbers are 722/230,9084/202

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 722,9084

Least Common Multiple of Numerators i.e. LCM of 722,9084 is 3279324.

GCF of Denominators means GCF of 230,202 as per the given fractions.

GCF of 230,202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,9084

LCM of Fractions 722/230,9084/202 is 1639662

2 722, 9084
361, 4542

∴ So the LCM of the given numbers is 2 x 361 x 4542 = 3279324

Least Common Multiple of 722,9084 with GCF Formula

Least Common Multiple of 722,9084 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 722,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,9084) = 2

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

GCF(722,9084) x common factors =2 x 1 = 2

LCM(722,9084) = ( 722 × 9084 ) / 2

LCM(722,9084) = 6558648 / 2

LCM(722,9084) = 3279324


Lets's calculate GCF of 230,202

2 230, 202
115, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3279324/2

Therefore the LCM of Fractions 722/230,9084/202 is 1639662

Greatest Common Factor of 230,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,202 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 230,202 . The biggest common factor number is the GCF number.
So the greatest common factor 230,202 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 722/230, 9084/202

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 722/230, 9084/202?

Answer: LCM of Numerators as per given numbers 722/230, 9084/202 is

LCM of Numerators i.e. for 722,9084 is 3279324

GCF of denominators i.e. for 230,202 is 2.

Thus, LCM of Fractions is 1639662.Finally, LCM of Fractions for 722/230, 9084/202 is 1639662.