Least Common Multiple of 855/18, 435/72, 336/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/18, 435/72, 336/941 quickly i.e. 2777040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/18, 435/72, 336/941 is 2777040.

LCM(855/18, 435/72, 336/941) = 2777040

LCM of 855/18, 435/72, 336/941

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 855/18,435/72,336/941

Given numbers are 855/18,435/72,336/941

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 855,435,336

Least Common Multiple of Numerators i.e. LCM of 855,435,336 is 2777040.

GCF of Denominators means GCF of 18,72,941 as per the given fractions.

GCF of 18,72,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,435,336

LCM of Fractions 855/18,435/72,336/941 is 2777040

3 855, 435, 336
5 285, 145, 112
57, 29, 112

∴ So the LCM of the given numbers is 3 x 5 x 57 x 29 x 112 = 2777040

Least Common Multiple of 855,435,336 with GCF Formula

Least Common Multiple of 855,435,336 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 855,435,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,435,336) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(855,435,336) x common factors =3 x 15 = 45

LCM(855,435,336) = ( 855 × 435 × 336 ) / 45

LCM(855,435,336) = 124966800 / 45

LCM(855,435,336) = 2777040


Lets's calculate GCF of 18,72,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2777040/1

Therefore the LCM of Fractions 855/18,435/72,336/941 is 2777040

Greatest Common Factor of 18,72,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,72,941 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 18,72,941 . The biggest common factor number is the GCF number.
So the greatest common factor 18,72,941 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 855/18, 435/72, 336/941

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 855/18, 435/72, 336/941?

Answer: LCM of Numerators as per given numbers 855/18, 435/72, 336/941 is

LCM of Numerators i.e. for 855,435,336 is 2777040

GCF of denominators i.e. for 18,72,941 is 1.

Thus, LCM of Fractions is 2777040.Finally, LCM of Fractions for 855/18, 435/72, 336/941 is 2777040.