Least Common Multiple of 64/823, 162/624, 484/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/823, 162/624, 484/446 quickly i.e. 627264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/823, 162/624, 484/446 is 627264.

LCM(64/823, 162/624, 484/446) = 627264

LCM of 64/823, 162/624, 484/446

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 64/823,162/624,484/446

Given numbers are 64/823,162/624,484/446

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 64,162,484

Least Common Multiple of Numerators i.e. LCM of 64,162,484 is 627264.

GCF of Denominators means GCF of 823,624,446 as per the given fractions.

GCF of 823,624,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,162,484

LCM of Fractions 64/823,162/624,484/446 is 627264

2 64, 162, 484
2 32, 81, 242
16, 81, 121

∴ So the LCM of the given numbers is 2 x 2 x 16 x 81 x 121 = 627264

Least Common Multiple of 64,162,484 with GCF Formula

Least Common Multiple of 64,162,484 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 64,162,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,162,484) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,162,484) x common factors =2 x 4 = 8

LCM(64,162,484) = ( 64 × 162 × 484 ) / 8

LCM(64,162,484) = 5018112 / 8

LCM(64,162,484) = 627264


Lets's calculate GCF of 823,624,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 627264/1

Therefore the LCM of Fractions 64/823,162/624,484/446 is 627264

Greatest Common Factor of 823,624,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,624,446 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 823,624,446 . The biggest common factor number is the GCF number.
So the greatest common factor 823,624,446 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 64/823, 162/624, 484/446

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 64/823, 162/624, 484/446?

Answer: LCM of Numerators as per given numbers 64/823, 162/624, 484/446 is

LCM of Numerators i.e. for 64,162,484 is 627264

GCF of denominators i.e. for 823,624,446 is 1.

Thus, LCM of Fractions is 627264.Finally, LCM of Fractions for 64/823, 162/624, 484/446 is 627264.