Least Common Multiple of 9828/782, 3580/8313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9828/782, 3580/8313 quickly i.e. 8796060/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9828/782, 3580/8313 is 8796060/17.

LCM(9828/782, 3580/8313) = 8796060/17

LCM of 9828/782, 3580/8313

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 9828/782,3580/8313

Given numbers are 9828/782,3580/8313

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 9828,3580

Least Common Multiple of Numerators i.e. LCM of 9828,3580 is 8796060.

GCF of Denominators means GCF of 782,8313 as per the given fractions.

GCF of 782,8313 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9828,3580

LCM of Fractions 9828/782,3580/8313 is 8796060/17

2 9828, 3580
2 4914, 1790
2457, 895

∴ So the LCM of the given numbers is 2 x 2 x 2457 x 895 = 8796060

Least Common Multiple of 9828,3580 with GCF Formula

Least Common Multiple of 9828,3580 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 9828,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9828,3580) = 4

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

GCF(9828,3580) x common factors =4 x 1 = 4

LCM(9828,3580) = ( 9828 × 3580 ) / 4

LCM(9828,3580) = 35184240 / 4

LCM(9828,3580) = 8796060


Lets's calculate GCF of 782,8313

17 782, 8313
46, 489

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8796060/17

Therefore the LCM of Fractions 9828/782,3580/8313 is 8796060/17

Greatest Common Factor of 782,8313 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,8313 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1,3,17,51,163,489,2771,8313

Greatest Common Factor

We found the factors 782,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 782,8313 is 17.


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 9828/782, 3580/8313

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 9828/782, 3580/8313?

Answer: LCM of Numerators as per given numbers 9828/782, 3580/8313 is

LCM of Numerators i.e. for 9828,3580 is 8796060

GCF of denominators i.e. for 782,8313 is 17.

Thus, LCM of Fractions is 8796060/17.Finally, LCM of Fractions for 9828/782, 3580/8313 is 8796060/17.