Least Common Multiple of 80/829, 9856/7742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/829, 9856/7742 quickly i.e. 49280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/829, 9856/7742 is 49280.

LCM(80/829, 9856/7742) = 49280

LCM of 80/829, 9856/7742

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 80/829,9856/7742

Given numbers are 80/829,9856/7742

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 80,9856

Least Common Multiple of Numerators i.e. LCM of 80,9856 is 49280.

GCF of Denominators means GCF of 829,7742 as per the given fractions.

GCF of 829,7742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,9856

LCM of Fractions 80/829,9856/7742 is 49280

2 80, 9856
2 40, 4928
2 20, 2464
2 10, 1232
5, 616

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 616 = 49280

Least Common Multiple of 80,9856 with GCF Formula

Least Common Multiple of 80,9856 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 80,9856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,9856) = 16

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

GCF(80,9856) x common factors =16 x 1 = 16

LCM(80,9856) = ( 80 × 9856 ) / 16

LCM(80,9856) = 788480 / 16

LCM(80,9856) = 49280


Lets's calculate GCF of 829,7742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49280/1

Therefore the LCM of Fractions 80/829,9856/7742 is 49280

Greatest Common Factor of 829,7742 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,7742 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Greatest Common Factor

We found the factors 829,7742 . The biggest common factor number is the GCF number.
So the greatest common factor 829,7742 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 80/829, 9856/7742

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 80/829, 9856/7742?

Answer: LCM of Numerators as per given numbers 80/829, 9856/7742 is

LCM of Numerators i.e. for 80,9856 is 49280

GCF of denominators i.e. for 829,7742 is 1.

Thus, LCM of Fractions is 49280.Finally, LCM of Fractions for 80/829, 9856/7742 is 49280.