Least Common Multiple of 64/966, 551/321, 253/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/966, 551/321, 253/363 quickly i.e. 8921792/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/966, 551/321, 253/363 is 8921792/3.

LCM(64/966, 551/321, 253/363) = 8921792/3

LCM of 64/966, 551/321, 253/363

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 64/966,551/321,253/363

Given numbers are 64/966,551/321,253/363

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 64,551,253

Least Common Multiple of Numerators i.e. LCM of 64,551,253 is 8921792.

GCF of Denominators means GCF of 966,321,363 as per the given fractions.

GCF of 966,321,363 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,551,253

LCM of Fractions 64/966,551/321,253/363 is 8921792/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 8921792

Least Common Multiple of 64,551,253 with GCF Formula

Least Common Multiple of 64,551,253 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 64,551,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,551,253) = 1

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

GCF(64,551,253) x common factors =1 x 1 = 1

LCM(64,551,253) = ( 64 × 551 × 253 ) / 1

LCM(64,551,253) = 8921792 / 1

LCM(64,551,253) = 8921792


Lets's calculate GCF of 966,321,363

3 966, 321, 363
322, 107, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8921792/3

Therefore the LCM of Fractions 64/966,551/321,253/363 is 8921792/3

Greatest Common Factor of 966,321,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,321,363 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 966,321,363 . The biggest common factor number is the GCF number.
So the greatest common factor 966,321,363 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 64/966, 551/321, 253/363

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 64/966, 551/321, 253/363?

Answer: LCM of Numerators as per given numbers 64/966, 551/321, 253/363 is

LCM of Numerators i.e. for 64,551,253 is 8921792

GCF of denominators i.e. for 966,321,363 is 3.

Thus, LCM of Fractions is 8921792/3.Finally, LCM of Fractions for 64/966, 551/321, 253/363 is 8921792/3.