Least Common Multiple of 422/44, 365/56, 283/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/44, 365/56, 283/530 quickly i.e. 21795245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/44, 365/56, 283/530 is 21795245.

LCM(422/44, 365/56, 283/530) = 21795245

LCM of 422/44, 365/56, 283/530

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 422/44,365/56,283/530

Given numbers are 422/44,365/56,283/530

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 422,365,283

Least Common Multiple of Numerators i.e. LCM of 422,365,283 is 43590490.

GCF of Denominators means GCF of 44,56,530 as per the given fractions.

GCF of 44,56,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,365,283

LCM of Fractions 422/44,365/56,283/530 is 21795245

Given numbers has no common factors except 1. So, there LCM is their product i.e 43590490

Least Common Multiple of 422,365,283 with GCF Formula

Least Common Multiple of 422,365,283 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 422,365,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,365,283) = 1

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

GCF(422,365,283) x common factors =1 x 1 = 1

LCM(422,365,283) = ( 422 × 365 × 283 ) / 1

LCM(422,365,283) = 43590490 / 1

LCM(422,365,283) = 43590490


Lets's calculate GCF of 44,56,530

2 44, 56, 530
22, 28, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43590490/2

Therefore the LCM of Fractions 422/44,365/56,283/530 is 21795245

Greatest Common Factor of 44,56,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,56,530 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 44,56,530 . The biggest common factor number is the GCF number.
So the greatest common factor 44,56,530 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 422/44, 365/56, 283/530

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 422/44, 365/56, 283/530?

Answer: LCM of Numerators as per given numbers 422/44, 365/56, 283/530 is

LCM of Numerators i.e. for 422,365,283 is 43590490

GCF of denominators i.e. for 44,56,530 is 2.

Thus, LCM of Fractions is 21795245.Finally, LCM of Fractions for 422/44, 365/56, 283/530 is 21795245.