Least Common Multiple of 9824/67, 5581/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9824/67, 5581/718 quickly i.e. 54827744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9824/67, 5581/718 is 54827744.

LCM(9824/67, 5581/718) = 54827744

LCM of 9824/67, 5581/718

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 9824/67,5581/718

Given numbers are 9824/67,5581/718

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 9824,5581

Least Common Multiple of Numerators i.e. LCM of 9824,5581 is 54827744.

GCF of Denominators means GCF of 67,718 as per the given fractions.

GCF of 67,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9824,5581

LCM of Fractions 9824/67,5581/718 is 54827744

Given numbers has no common factors except 1. So, there LCM is their product i.e 54827744

Least Common Multiple of 9824,5581 with GCF Formula

Least Common Multiple of 9824,5581 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 9824,5581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9824,5581) = 1

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

GCF(9824,5581) x common factors =1 x 1 = 1

LCM(9824,5581) = ( 9824 × 5581 ) / 1

LCM(9824,5581) = 54827744 / 1

LCM(9824,5581) = 54827744


Lets's calculate GCF of 67,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54827744/1

Therefore the LCM of Fractions 9824/67,5581/718 is 54827744

Greatest Common Factor of 67,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,718 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 67,718 . The biggest common factor number is the GCF number.
So the greatest common factor 67,718 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9824/67, 5581/718

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 9824/67, 5581/718?

Answer: LCM of Numerators as per given numbers 9824/67, 5581/718 is

LCM of Numerators i.e. for 9824,5581 is 54827744

GCF of denominators i.e. for 67,718 is 1.

Thus, LCM of Fractions is 54827744.Finally, LCM of Fractions for 9824/67, 5581/718 is 54827744.