Least Common Multiple of 64/550, 825/819, 331/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/550, 825/819, 331/102 quickly i.e. 17476800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/550, 825/819, 331/102 is 17476800.

LCM(64/550, 825/819, 331/102) = 17476800

LCM of 64/550, 825/819, 331/102

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 64/550,825/819,331/102

Given numbers are 64/550,825/819,331/102

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 64,825,331

Least Common Multiple of Numerators i.e. LCM of 64,825,331 is 17476800.

GCF of Denominators means GCF of 550,819,102 as per the given fractions.

GCF of 550,819,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,825,331

LCM of Fractions 64/550,825/819,331/102 is 17476800

Given numbers has no common factors except 1. So, there LCM is their product i.e 17476800

Least Common Multiple of 64,825,331 with GCF Formula

Least Common Multiple of 64,825,331 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 64,825,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,825,331) = 1

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

GCF(64,825,331) x common factors =1 x 1 = 1

LCM(64,825,331) = ( 64 × 825 × 331 ) / 1

LCM(64,825,331) = 17476800 / 1

LCM(64,825,331) = 17476800


Lets's calculate GCF of 550,819,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17476800/1

Therefore the LCM of Fractions 64/550,825/819,331/102 is 17476800

Greatest Common Factor of 550,819,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,819,102 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 550,819,102 . The biggest common factor number is the GCF number.
So the greatest common factor 550,819,102 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 64/550, 825/819, 331/102

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 64/550, 825/819, 331/102?

Answer: LCM of Numerators as per given numbers 64/550, 825/819, 331/102 is

LCM of Numerators i.e. for 64,825,331 is 17476800

GCF of denominators i.e. for 550,819,102 is 1.

Thus, LCM of Fractions is 17476800.Finally, LCM of Fractions for 64/550, 825/819, 331/102 is 17476800.