Least Common Multiple of 530/782, 282/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/782, 282/399 quickly i.e. 74730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/782, 282/399 is 74730.

LCM(530/782, 282/399) = 74730

LCM of 530/782, 282/399

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 530/782,282/399

Given numbers are 530/782,282/399

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 530,282

Least Common Multiple of Numerators i.e. LCM of 530,282 is 74730.

GCF of Denominators means GCF of 782,399 as per the given fractions.

GCF of 782,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,282

LCM of Fractions 530/782,282/399 is 74730

2 530, 282
265, 141

∴ So the LCM of the given numbers is 2 x 265 x 141 = 74730

Least Common Multiple of 530,282 with GCF Formula

Least Common Multiple of 530,282 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 530,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,282) = 2

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

GCF(530,282) x common factors =2 x 1 = 2

LCM(530,282) = ( 530 × 282 ) / 2

LCM(530,282) = 149460 / 2

LCM(530,282) = 74730


Lets's calculate GCF of 782,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74730/1

Therefore the LCM of Fractions 530/782,282/399 is 74730

Greatest Common Factor of 782,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,399 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 782,399 . The biggest common factor number is the GCF number.
So the greatest common factor 782,399 is 1.


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 530/782, 282/399

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 530/782, 282/399?

Answer: LCM of Numerators as per given numbers 530/782, 282/399 is

LCM of Numerators i.e. for 530,282 is 74730

GCF of denominators i.e. for 782,399 is 1.

Thus, LCM of Fractions is 74730.Finally, LCM of Fractions for 530/782, 282/399 is 74730.