Least Common Multiple of 385/68, 835/99, 255/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/68, 835/99, 255/894 quickly i.e. 3279045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/68, 835/99, 255/894 is 3279045.

LCM(385/68, 835/99, 255/894) = 3279045

LCM of 385/68, 835/99, 255/894

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 385/68,835/99,255/894

Given numbers are 385/68,835/99,255/894

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 385,835,255

Least Common Multiple of Numerators i.e. LCM of 385,835,255 is 3279045.

GCF of Denominators means GCF of 68,99,894 as per the given fractions.

GCF of 68,99,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,835,255

LCM of Fractions 385/68,835/99,255/894 is 3279045

5 385, 835, 255
77, 167, 51

∴ So the LCM of the given numbers is 5 x 77 x 167 x 51 = 3279045

Least Common Multiple of 385,835,255 with GCF Formula

Least Common Multiple of 385,835,255 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 385,835,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,835,255) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(385,835,255) x common factors =5 x 5 = 25

LCM(385,835,255) = ( 385 × 835 × 255 ) / 25

LCM(385,835,255) = 81976125 / 25

LCM(385,835,255) = 3279045


Lets's calculate GCF of 68,99,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3279045/1

Therefore the LCM of Fractions 385/68,835/99,255/894 is 3279045

Greatest Common Factor of 68,99,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,99,894 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 68,99,894 . The biggest common factor number is the GCF number.
So the greatest common factor 68,99,894 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 385/68, 835/99, 255/894

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 385/68, 835/99, 255/894?

Answer: LCM of Numerators as per given numbers 385/68, 835/99, 255/894 is

LCM of Numerators i.e. for 385,835,255 is 3279045

GCF of denominators i.e. for 68,99,894 is 1.

Thus, LCM of Fractions is 3279045.Finally, LCM of Fractions for 385/68, 835/99, 255/894 is 3279045.