Least Common Multiple of 434/81, 961/49, 210/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/81, 961/49, 210/789 quickly i.e. 201810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/81, 961/49, 210/789 is 201810.

LCM(434/81, 961/49, 210/789) = 201810

LCM of 434/81, 961/49, 210/789

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 434/81,961/49,210/789

Given numbers are 434/81,961/49,210/789

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 434,961,210

Least Common Multiple of Numerators i.e. LCM of 434,961,210 is 201810.

GCF of Denominators means GCF of 81,49,789 as per the given fractions.

GCF of 81,49,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,961,210

LCM of Fractions 434/81,961/49,210/789 is 201810

2 434, 961, 210
7 217, 961, 105
31 31, 961, 15
1, 31, 15

∴ So the LCM of the given numbers is 2 x 7 x 31 x 1 x 31 x 15 = 201810

Least Common Multiple of 434,961,210 with GCF Formula

Least Common Multiple of 434,961,210 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 434,961,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,961,210) = 1

common factors(in case of two or more numbers have common factors) = 434

GCF(434,961,210) x common factors =1 x 434 = 434

LCM(434,961,210) = ( 434 × 961 × 210 ) / 434

LCM(434,961,210) = 87585540 / 434

LCM(434,961,210) = 201810


Lets's calculate GCF of 81,49,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201810/1

Therefore the LCM of Fractions 434/81,961/49,210/789 is 201810

Greatest Common Factor of 81,49,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,49,789 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 81,49,789 . The biggest common factor number is the GCF number.
So the greatest common factor 81,49,789 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 434/81, 961/49, 210/789

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 434/81, 961/49, 210/789?

Answer: LCM of Numerators as per given numbers 434/81, 961/49, 210/789 is

LCM of Numerators i.e. for 434,961,210 is 201810

GCF of denominators i.e. for 81,49,789 is 1.

Thus, LCM of Fractions is 201810.Finally, LCM of Fractions for 434/81, 961/49, 210/789 is 201810.