Least Common Multiple of 3451/509, 4669/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3451/509, 4669/492 quickly i.e. 79373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3451/509, 4669/492 is 79373.

LCM(3451/509, 4669/492) = 79373

LCM of 3451/509, 4669/492

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 3451/509,4669/492

Given numbers are 3451/509,4669/492

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 3451,4669

Least Common Multiple of Numerators i.e. LCM of 3451,4669 is 79373.

GCF of Denominators means GCF of 509,492 as per the given fractions.

GCF of 509,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3451,4669

LCM of Fractions 3451/509,4669/492 is 79373

7 3451, 4669
29 493, 667
17, 23

∴ So the LCM of the given numbers is 7 x 29 x 17 x 23 = 79373

Least Common Multiple of 3451,4669 with GCF Formula

Least Common Multiple of 3451,4669 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 3451,4669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3451,4669) = 203

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

GCF(3451,4669) x common factors =203 x 1 = 203

LCM(3451,4669) = ( 3451 × 4669 ) / 203

LCM(3451,4669) = 16112719 / 203

LCM(3451,4669) = 79373


Lets's calculate GCF of 509,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79373/1

Therefore the LCM of Fractions 3451/509,4669/492 is 79373

Greatest Common Factor of 509,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,492 By Matching Biggest Common Factor Method

Factors of 509

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

1,509

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 509,492 . The biggest common factor number is the GCF number.
So the greatest common factor 509,492 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 3451/509, 4669/492

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 3451/509, 4669/492?

Answer: LCM of Numerators as per given numbers 3451/509, 4669/492 is

LCM of Numerators i.e. for 3451,4669 is 79373

GCF of denominators i.e. for 509,492 is 1.

Thus, LCM of Fractions is 79373.Finally, LCM of Fractions for 3451/509, 4669/492 is 79373.