Least Common Multiple of 64/218, 28/449, 768/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/218, 28/449, 768/220 quickly i.e. 5376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/218, 28/449, 768/220 is 5376.

LCM(64/218, 28/449, 768/220) = 5376

LCM of 64/218, 28/449, 768/220

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 64/218,28/449,768/220

Given numbers are 64/218,28/449,768/220

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 64,28,768

Least Common Multiple of Numerators i.e. LCM of 64,28,768 is 5376.

GCF of Denominators means GCF of 218,449,220 as per the given fractions.

GCF of 218,449,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,28,768

LCM of Fractions 64/218,28/449,768/220 is 5376

2 64, 28, 768
2 32, 14, 384
2 16, 7, 192
2 8, 7, 96
2 4, 7, 48
2 2, 7, 24
1, 7, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 7 x 12 = 5376

Least Common Multiple of 64,28,768 with GCF Formula

Least Common Multiple of 64,28,768 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 64,28,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,768) = 4

common factors(in case of two or more numbers have common factors) = 64

GCF(64,28,768) x common factors =4 x 64 = 256

LCM(64,28,768) = ( 64 × 28 × 768 ) / 256

LCM(64,28,768) = 1376256 / 256

LCM(64,28,768) = 5376


Lets's calculate GCF of 218,449,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5376/1

Therefore the LCM of Fractions 64/218,28/449,768/220 is 5376

Greatest Common Factor of 218,449,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,449,220 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 218,449,220 . The biggest common factor number is the GCF number.
So the greatest common factor 218,449,220 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 64/218, 28/449, 768/220

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 64/218, 28/449, 768/220?

Answer: LCM of Numerators as per given numbers 64/218, 28/449, 768/220 is

LCM of Numerators i.e. for 64,28,768 is 5376

GCF of denominators i.e. for 218,449,220 is 1.

Thus, LCM of Fractions is 5376.Finally, LCM of Fractions for 64/218, 28/449, 768/220 is 5376.