Least Common Multiple of 822/462, 4552/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/462, 4552/663 quickly i.e. 623624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/462, 4552/663 is 623624.

LCM(822/462, 4552/663) = 623624

LCM of 822/462, 4552/663

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 822/462,4552/663

Given numbers are 822/462,4552/663

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 822,4552

Least Common Multiple of Numerators i.e. LCM of 822,4552 is 1870872.

GCF of Denominators means GCF of 462,663 as per the given fractions.

GCF of 462,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,4552

LCM of Fractions 822/462,4552/663 is 623624

2 822, 4552
411, 2276

∴ So the LCM of the given numbers is 2 x 411 x 2276 = 1870872

Least Common Multiple of 822,4552 with GCF Formula

Least Common Multiple of 822,4552 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 822,4552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,4552) = 2

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

GCF(822,4552) x common factors =2 x 1 = 2

LCM(822,4552) = ( 822 × 4552 ) / 2

LCM(822,4552) = 3741744 / 2

LCM(822,4552) = 1870872


Lets's calculate GCF of 462,663

3 462, 663
154, 221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1870872/3

Therefore the LCM of Fractions 822/462,4552/663 is 623624

Greatest Common Factor of 462,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,663 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 462,663 . The biggest common factor number is the GCF number.
So the greatest common factor 462,663 is 3.


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 822/462, 4552/663

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 822/462, 4552/663?

Answer: LCM of Numerators as per given numbers 822/462, 4552/663 is

LCM of Numerators i.e. for 822,4552 is 1870872

GCF of denominators i.e. for 462,663 is 3.

Thus, LCM of Fractions is 623624.Finally, LCM of Fractions for 822/462, 4552/663 is 623624.