Least Common Multiple of 64/441, 97/160, 533/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/441, 97/160, 533/378 quickly i.e. 3308864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/441, 97/160, 533/378 is 3308864.

LCM(64/441, 97/160, 533/378) = 3308864

LCM of 64/441, 97/160, 533/378

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 64/441,97/160,533/378

Given numbers are 64/441,97/160,533/378

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 64,97,533

Least Common Multiple of Numerators i.e. LCM of 64,97,533 is 3308864.

GCF of Denominators means GCF of 441,160,378 as per the given fractions.

GCF of 441,160,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,97,533

LCM of Fractions 64/441,97/160,533/378 is 3308864

Given numbers has no common factors except 1. So, there LCM is their product i.e 3308864

Least Common Multiple of 64,97,533 with GCF Formula

Least Common Multiple of 64,97,533 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 64,97,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,97,533) = 1

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

GCF(64,97,533) x common factors =1 x 1 = 1

LCM(64,97,533) = ( 64 × 97 × 533 ) / 1

LCM(64,97,533) = 3308864 / 1

LCM(64,97,533) = 3308864


Lets's calculate GCF of 441,160,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3308864/1

Therefore the LCM of Fractions 64/441,97/160,533/378 is 3308864

Greatest Common Factor of 441,160,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,160,378 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 441,160,378 . The biggest common factor number is the GCF number.
So the greatest common factor 441,160,378 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 64/441, 97/160, 533/378

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 64/441, 97/160, 533/378?

Answer: LCM of Numerators as per given numbers 64/441, 97/160, 533/378 is

LCM of Numerators i.e. for 64,97,533 is 3308864

GCF of denominators i.e. for 441,160,378 is 1.

Thus, LCM of Fractions is 3308864.Finally, LCM of Fractions for 64/441, 97/160, 533/378 is 3308864.