Least Common Multiple of 801/30, 434/9764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/30, 434/9764 quickly i.e. 173817 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/30, 434/9764 is 173817.

LCM(801/30, 434/9764) = 173817

LCM of 801/30, 434/9764

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 801/30,434/9764

Given numbers are 801/30,434/9764

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 801,434

Least Common Multiple of Numerators i.e. LCM of 801,434 is 347634.

GCF of Denominators means GCF of 30,9764 as per the given fractions.

GCF of 30,9764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,434

LCM of Fractions 801/30,434/9764 is 173817

Given numbers has no common factors except 1. So, there LCM is their product i.e 347634

Least Common Multiple of 801,434 with GCF Formula

Least Common Multiple of 801,434 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 801,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,434) = 1

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

GCF(801,434) x common factors =1 x 1 = 1

LCM(801,434) = ( 801 × 434 ) / 1

LCM(801,434) = 347634 / 1

LCM(801,434) = 347634


Lets's calculate GCF of 30,9764

2 30, 9764
15, 4882

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347634/2

Therefore the LCM of Fractions 801/30,434/9764 is 173817

Greatest Common Factor of 30,9764 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,9764 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1,2,4,2441,4882,9764

Greatest Common Factor

We found the factors 30,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 30,9764 is 2.


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 801/30, 434/9764

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 801/30, 434/9764?

Answer: LCM of Numerators as per given numbers 801/30, 434/9764 is

LCM of Numerators i.e. for 801,434 is 347634

GCF of denominators i.e. for 30,9764 is 2.

Thus, LCM of Fractions is 173817.Finally, LCM of Fractions for 801/30, 434/9764 is 173817.