Least Common Multiple of 64/393, 796/335, 278/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/393, 796/335, 278/249 quickly i.e. 1770304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/393, 796/335, 278/249 is 1770304.

LCM(64/393, 796/335, 278/249) = 1770304

LCM of 64/393, 796/335, 278/249

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 64/393,796/335,278/249

Given numbers are 64/393,796/335,278/249

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 64,796,278

Least Common Multiple of Numerators i.e. LCM of 64,796,278 is 1770304.

GCF of Denominators means GCF of 393,335,249 as per the given fractions.

GCF of 393,335,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,796,278

LCM of Fractions 64/393,796/335,278/249 is 1770304

2 64, 796, 278
2 32, 398, 139
16, 199, 139

∴ So the LCM of the given numbers is 2 x 2 x 16 x 199 x 139 = 1770304

Least Common Multiple of 64,796,278 with GCF Formula

Least Common Multiple of 64,796,278 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 64,796,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,796,278) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,796,278) x common factors =2 x 4 = 8

LCM(64,796,278) = ( 64 × 796 × 278 ) / 8

LCM(64,796,278) = 14162432 / 8

LCM(64,796,278) = 1770304


Lets's calculate GCF of 393,335,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1770304/1

Therefore the LCM of Fractions 64/393,796/335,278/249 is 1770304

Greatest Common Factor of 393,335,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,335,249 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 393,335,249 . The biggest common factor number is the GCF number.
So the greatest common factor 393,335,249 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 64/393, 796/335, 278/249

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 64/393, 796/335, 278/249?

Answer: LCM of Numerators as per given numbers 64/393, 796/335, 278/249 is

LCM of Numerators i.e. for 64,796,278 is 1770304

GCF of denominators i.e. for 393,335,249 is 1.

Thus, LCM of Fractions is 1770304.Finally, LCM of Fractions for 64/393, 796/335, 278/249 is 1770304.