Least Common Multiple of 35/704, 81/191, 788/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/704, 81/191, 788/855 quickly i.e. 2233980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/704, 81/191, 788/855 is 2233980.

LCM(35/704, 81/191, 788/855) = 2233980

LCM of 35/704, 81/191, 788/855

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 35/704,81/191,788/855

Given numbers are 35/704,81/191,788/855

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 35,81,788

Least Common Multiple of Numerators i.e. LCM of 35,81,788 is 2233980.

GCF of Denominators means GCF of 704,191,855 as per the given fractions.

GCF of 704,191,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,81,788

LCM of Fractions 35/704,81/191,788/855 is 2233980

Given numbers has no common factors except 1. So, there LCM is their product i.e 2233980

Least Common Multiple of 35,81,788 with GCF Formula

Least Common Multiple of 35,81,788 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 35,81,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,81,788) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(35,81,788) x common factors =1 x 1 = 1

LCM(35,81,788) = ( 35 × 81 × 788 ) / 1

LCM(35,81,788) = 2233980 / 1

LCM(35,81,788) = 2233980


Lets's calculate GCF of 704,191,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2233980/1

Therefore the LCM of Fractions 35/704,81/191,788/855 is 2233980

Greatest Common Factor of 704,191,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,191,855 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

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 704,191,855 . The biggest common factor number is the GCF number.
So the greatest common factor 704,191,855 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 35/704, 81/191, 788/855

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 35/704, 81/191, 788/855?

Answer: LCM of Numerators as per given numbers 35/704, 81/191, 788/855 is

LCM of Numerators i.e. for 35,81,788 is 2233980

GCF of denominators i.e. for 704,191,855 is 1.

Thus, LCM of Fractions is 2233980.Finally, LCM of Fractions for 35/704, 81/191, 788/855 is 2233980.