Least Common Multiple of 328/64, 257/42, 278/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/64, 257/42, 278/271 quickly i.e. 11717144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/64, 257/42, 278/271 is 11717144.

LCM(328/64, 257/42, 278/271) = 11717144

LCM of 328/64, 257/42, 278/271

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 328/64,257/42,278/271

Given numbers are 328/64,257/42,278/271

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 328,257,278

Least Common Multiple of Numerators i.e. LCM of 328,257,278 is 11717144.

GCF of Denominators means GCF of 64,42,271 as per the given fractions.

GCF of 64,42,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,257,278

LCM of Fractions 328/64,257/42,278/271 is 11717144

2 328, 257, 278
164, 257, 139

∴ So the LCM of the given numbers is 2 x 164 x 257 x 139 = 11717144

Least Common Multiple of 328,257,278 with GCF Formula

Least Common Multiple of 328,257,278 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 328,257,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,257,278) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(328,257,278) x common factors =1 x 2 = 2

LCM(328,257,278) = ( 328 × 257 × 278 ) / 2

LCM(328,257,278) = 23434288 / 2

LCM(328,257,278) = 11717144


Lets's calculate GCF of 64,42,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11717144/1

Therefore the LCM of Fractions 328/64,257/42,278/271 is 11717144

Greatest Common Factor of 64,42,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,42,271 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 64,42,271 . The biggest common factor number is the GCF number.
So the greatest common factor 64,42,271 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 328/64, 257/42, 278/271

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 328/64, 257/42, 278/271?

Answer: LCM of Numerators as per given numbers 328/64, 257/42, 278/271 is

LCM of Numerators i.e. for 328,257,278 is 11717144

GCF of denominators i.e. for 64,42,271 is 1.

Thus, LCM of Fractions is 11717144.Finally, LCM of Fractions for 328/64, 257/42, 278/271 is 11717144.