Least Common Multiple of 621/62, 506/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 621/62, 506/576 quickly i.e. 6831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 621/62, 506/576 is 6831.

LCM(621/62, 506/576) = 6831

LCM of 621/62, 506/576

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 621/62,506/576

Given numbers are 621/62,506/576

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 621,506

Least Common Multiple of Numerators i.e. LCM of 621,506 is 13662.

GCF of Denominators means GCF of 62,576 as per the given fractions.

GCF of 62,576 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 621,506

LCM of Fractions 621/62,506/576 is 6831

23 621, 506
27, 22

∴ So the LCM of the given numbers is 23 x 27 x 22 = 13662

Least Common Multiple of 621,506 with GCF Formula

Least Common Multiple of 621,506 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 621,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,506) = 23

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

GCF(621,506) x common factors =23 x 1 = 23

LCM(621,506) = ( 621 × 506 ) / 23

LCM(621,506) = 314226 / 23

LCM(621,506) = 13662


Lets's calculate GCF of 62,576

2 62, 576
31, 288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13662/2

Therefore the LCM of Fractions 621/62,506/576 is 6831

Greatest Common Factor of 62,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,576 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 62,576 . The biggest common factor number is the GCF number.
So the greatest common factor 62,576 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 621/62, 506/576

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 621/62, 506/576?

Answer: LCM of Numerators as per given numbers 621/62, 506/576 is

LCM of Numerators i.e. for 621,506 is 13662

GCF of denominators i.e. for 62,576 is 2.

Thus, LCM of Fractions is 6831.Finally, LCM of Fractions for 621/62, 506/576 is 6831.