Least Common Multiple of 1682/431, 4630/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1682/431, 4630/509 quickly i.e. 3893830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1682/431, 4630/509 is 3893830.

LCM(1682/431, 4630/509) = 3893830

LCM of 1682/431, 4630/509

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 1682/431,4630/509

Given numbers are 1682/431,4630/509

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 1682,4630

Least Common Multiple of Numerators i.e. LCM of 1682,4630 is 3893830.

GCF of Denominators means GCF of 431,509 as per the given fractions.

GCF of 431,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1682,4630

LCM of Fractions 1682/431,4630/509 is 3893830

2 1682, 4630
841, 2315

∴ So the LCM of the given numbers is 2 x 841 x 2315 = 3893830

Least Common Multiple of 1682,4630 with GCF Formula

Least Common Multiple of 1682,4630 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 1682,4630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1682,4630) = 2

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

GCF(1682,4630) x common factors =2 x 1 = 2

LCM(1682,4630) = ( 1682 × 4630 ) / 2

LCM(1682,4630) = 7787660 / 2

LCM(1682,4630) = 3893830


Lets's calculate GCF of 431,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3893830/1

Therefore the LCM of Fractions 1682/431,4630/509 is 3893830

Greatest Common Factor of 431,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,509 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 431,509 . The biggest common factor number is the GCF number.
So the greatest common factor 431,509 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 1682/431, 4630/509

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 1682/431, 4630/509?

Answer: LCM of Numerators as per given numbers 1682/431, 4630/509 is

LCM of Numerators i.e. for 1682,4630 is 3893830

GCF of denominators i.e. for 431,509 is 1.

Thus, LCM of Fractions is 3893830.Finally, LCM of Fractions for 1682/431, 4630/509 is 3893830.