Least Common Multiple of 506/420, 4612/3463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/420, 4612/3463 quickly i.e. 1166836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/420, 4612/3463 is 1166836.

LCM(506/420, 4612/3463) = 1166836

LCM of 506/420, 4612/3463

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 506/420,4612/3463

Given numbers are 506/420,4612/3463

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 506,4612

Least Common Multiple of Numerators i.e. LCM of 506,4612 is 1166836.

GCF of Denominators means GCF of 420,3463 as per the given fractions.

GCF of 420,3463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,4612

LCM of Fractions 506/420,4612/3463 is 1166836

2 506, 4612
253, 2306

∴ So the LCM of the given numbers is 2 x 253 x 2306 = 1166836

Least Common Multiple of 506,4612 with GCF Formula

Least Common Multiple of 506,4612 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 506,4612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,4612) = 2

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

GCF(506,4612) x common factors =2 x 1 = 2

LCM(506,4612) = ( 506 × 4612 ) / 2

LCM(506,4612) = 2333672 / 2

LCM(506,4612) = 1166836


Lets's calculate GCF of 420,3463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1166836/1

Therefore the LCM of Fractions 506/420,4612/3463 is 1166836

Greatest Common Factor of 420,3463 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,3463 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 3463

List of positive integer factors of 3463 that divides 3463 without a remainder.

1,3463

Greatest Common Factor

We found the factors 420,3463 . The biggest common factor number is the GCF number.
So the greatest common factor 420,3463 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 506/420, 4612/3463

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 506/420, 4612/3463?

Answer: LCM of Numerators as per given numbers 506/420, 4612/3463 is

LCM of Numerators i.e. for 506,4612 is 1166836

GCF of denominators i.e. for 420,3463 is 1.

Thus, LCM of Fractions is 1166836.Finally, LCM of Fractions for 506/420, 4612/3463 is 1166836.