Least Common Multiple of 820/45, 622/3233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 820/45, 622/3233 quickly i.e. 255020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/45, 622/3233 is 255020.

LCM(820/45, 622/3233) = 255020

LCM of 820/45, 622/3233

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 820/45,622/3233

Given numbers are 820/45,622/3233

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 820,622

Least Common Multiple of Numerators i.e. LCM of 820,622 is 255020.

GCF of Denominators means GCF of 45,3233 as per the given fractions.

GCF of 45,3233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,622

LCM of Fractions 820/45,622/3233 is 255020

2 820, 622
410, 311

∴ So the LCM of the given numbers is 2 x 410 x 311 = 255020

Least Common Multiple of 820,622 with GCF Formula

Least Common Multiple of 820,622 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 820,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,622) = 2

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

GCF(820,622) x common factors =2 x 1 = 2

LCM(820,622) = ( 820 × 622 ) / 2

LCM(820,622) = 510040 / 2

LCM(820,622) = 255020


Lets's calculate GCF of 45,3233

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255020/1

Therefore the LCM of Fractions 820/45,622/3233 is 255020

Greatest Common Factor of 45,3233 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3233 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3233

List of positive integer factors of 3233 that divides 3233 without a remainder.

1,53,61,3233

Greatest Common Factor

We found the factors 45,3233 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3233 is 1.


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 820/45, 622/3233

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 820/45, 622/3233?

Answer: LCM of Numerators as per given numbers 820/45, 622/3233 is

LCM of Numerators i.e. for 820,622 is 255020

GCF of denominators i.e. for 45,3233 is 1.

Thus, LCM of Fractions is 255020.Finally, LCM of Fractions for 820/45, 622/3233 is 255020.