Least Common Multiple of 649/64, 371/46, 204/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/64, 371/46, 204/522 quickly i.e. 24559458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/64, 371/46, 204/522 is 24559458.

LCM(649/64, 371/46, 204/522) = 24559458

LCM of 649/64, 371/46, 204/522

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 649/64,371/46,204/522

Given numbers are 649/64,371/46,204/522

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 649,371,204

Least Common Multiple of Numerators i.e. LCM of 649,371,204 is 49118916.

GCF of Denominators means GCF of 64,46,522 as per the given fractions.

GCF of 64,46,522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,371,204

LCM of Fractions 649/64,371/46,204/522 is 24559458

Given numbers has no common factors except 1. So, there LCM is their product i.e 49118916

Least Common Multiple of 649,371,204 with GCF Formula

Least Common Multiple of 649,371,204 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 649,371,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,371,204) = 1

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

GCF(649,371,204) x common factors =1 x 1 = 1

LCM(649,371,204) = ( 649 × 371 × 204 ) / 1

LCM(649,371,204) = 49118916 / 1

LCM(649,371,204) = 49118916


Lets's calculate GCF of 64,46,522

2 64, 46, 522
32, 23, 261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49118916/2

Therefore the LCM of Fractions 649/64,371/46,204/522 is 24559458

Greatest Common Factor of 64,46,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,46,522 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 64,46,522 . The biggest common factor number is the GCF number.
So the greatest common factor 64,46,522 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 649/64, 371/46, 204/522

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 649/64, 371/46, 204/522?

Answer: LCM of Numerators as per given numbers 649/64, 371/46, 204/522 is

LCM of Numerators i.e. for 649,371,204 is 49118916

GCF of denominators i.e. for 64,46,522 is 2.

Thus, LCM of Fractions is 24559458.Finally, LCM of Fractions for 649/64, 371/46, 204/522 is 24559458.