Least Common Multiple of 506/496, 1422/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/496, 1422/810 quickly i.e. 179883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/496, 1422/810 is 179883.

LCM(506/496, 1422/810) = 179883

LCM of 506/496, 1422/810

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 506/496,1422/810

Given numbers are 506/496,1422/810

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 506,1422

Least Common Multiple of Numerators i.e. LCM of 506,1422 is 359766.

GCF of Denominators means GCF of 496,810 as per the given fractions.

GCF of 496,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,1422

LCM of Fractions 506/496,1422/810 is 179883

2 506, 1422
253, 711

∴ So the LCM of the given numbers is 2 x 253 x 711 = 359766

Least Common Multiple of 506,1422 with GCF Formula

Least Common Multiple of 506,1422 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 506,1422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,1422) = 2

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

GCF(506,1422) x common factors =2 x 1 = 2

LCM(506,1422) = ( 506 × 1422 ) / 2

LCM(506,1422) = 719532 / 2

LCM(506,1422) = 359766


Lets's calculate GCF of 496,810

2 496, 810
248, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359766/2

Therefore the LCM of Fractions 506/496,1422/810 is 179883

Greatest Common Factor of 496,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,810 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 496,810 . The biggest common factor number is the GCF number.
So the greatest common factor 496,810 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 506/496, 1422/810

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 506/496, 1422/810?

Answer: LCM of Numerators as per given numbers 506/496, 1422/810 is

LCM of Numerators i.e. for 506,1422 is 359766

GCF of denominators i.e. for 496,810 is 2.

Thus, LCM of Fractions is 179883.Finally, LCM of Fractions for 506/496, 1422/810 is 179883.