Least Common Multiple of 34/444, 491/759, 163/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/444, 491/759, 163/896 quickly i.e. 2721122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/444, 491/759, 163/896 is 2721122.

LCM(34/444, 491/759, 163/896) = 2721122

LCM of 34/444, 491/759, 163/896

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 34/444,491/759,163/896

Given numbers are 34/444,491/759,163/896

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 34,491,163

Least Common Multiple of Numerators i.e. LCM of 34,491,163 is 2721122.

GCF of Denominators means GCF of 444,759,896 as per the given fractions.

GCF of 444,759,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,491,163

LCM of Fractions 34/444,491/759,163/896 is 2721122

Given numbers has no common factors except 1. So, there LCM is their product i.e 2721122

Least Common Multiple of 34,491,163 with GCF Formula

Least Common Multiple of 34,491,163 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 34,491,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,491,163) = 1

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

GCF(34,491,163) x common factors =1 x 1 = 1

LCM(34,491,163) = ( 34 × 491 × 163 ) / 1

LCM(34,491,163) = 2721122 / 1

LCM(34,491,163) = 2721122


Lets's calculate GCF of 444,759,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2721122/1

Therefore the LCM of Fractions 34/444,491/759,163/896 is 2721122

Greatest Common Factor of 444,759,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,759,896 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 444,759,896 . The biggest common factor number is the GCF number.
So the greatest common factor 444,759,896 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 34/444, 491/759, 163/896

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 34/444, 491/759, 163/896?

Answer: LCM of Numerators as per given numbers 34/444, 491/759, 163/896 is

LCM of Numerators i.e. for 34,491,163 is 2721122

GCF of denominators i.e. for 444,759,896 is 1.

Thus, LCM of Fractions is 2721122.Finally, LCM of Fractions for 34/444, 491/759, 163/896 is 2721122.