Least Common Multiple of 185/47, 642/10, 766/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/47, 642/10, 766/855 quickly i.e. 45488910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/47, 642/10, 766/855 is 45488910.

LCM(185/47, 642/10, 766/855) = 45488910

LCM of 185/47, 642/10, 766/855

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 185/47,642/10,766/855

Given numbers are 185/47,642/10,766/855

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 185,642,766

Least Common Multiple of Numerators i.e. LCM of 185,642,766 is 45488910.

GCF of Denominators means GCF of 47,10,855 as per the given fractions.

GCF of 47,10,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,642,766

LCM of Fractions 185/47,642/10,766/855 is 45488910

2 185, 642, 766
185, 321, 383

∴ So the LCM of the given numbers is 2 x 185 x 321 x 383 = 45488910

Least Common Multiple of 185,642,766 with GCF Formula

Least Common Multiple of 185,642,766 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 185,642,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,642,766) = 1

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

GCF(185,642,766) x common factors =1 x 2 = 2

LCM(185,642,766) = ( 185 × 642 × 766 ) / 2

LCM(185,642,766) = 90977820 / 2

LCM(185,642,766) = 45488910


Lets's calculate GCF of 47,10,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45488910/1

Therefore the LCM of Fractions 185/47,642/10,766/855 is 45488910

Greatest Common Factor of 47,10,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,10,855 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 47,10,855 . The biggest common factor number is the GCF number.
So the greatest common factor 47,10,855 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 185/47, 642/10, 766/855

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 185/47, 642/10, 766/855?

Answer: LCM of Numerators as per given numbers 185/47, 642/10, 766/855 is

LCM of Numerators i.e. for 185,642,766 is 45488910

GCF of denominators i.e. for 47,10,855 is 1.

Thus, LCM of Fractions is 45488910.Finally, LCM of Fractions for 185/47, 642/10, 766/855 is 45488910.