Least Common Multiple of 5581/920, 5842/8472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5581/920, 5842/8472 quickly i.e. 32604202/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5581/920, 5842/8472 is 32604202/8.

LCM(5581/920, 5842/8472) = 32604202/8

LCM of 5581/920, 5842/8472

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 5581/920,5842/8472

Given numbers are 5581/920,5842/8472

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 5581,5842

Least Common Multiple of Numerators i.e. LCM of 5581,5842 is 32604202.

GCF of Denominators means GCF of 920,8472 as per the given fractions.

GCF of 920,8472 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5581,5842

LCM of Fractions 5581/920,5842/8472 is 32604202/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 32604202

Least Common Multiple of 5581,5842 with GCF Formula

Least Common Multiple of 5581,5842 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 5581,5842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5581,5842) = 1

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

GCF(5581,5842) x common factors =1 x 1 = 1

LCM(5581,5842) = ( 5581 × 5842 ) / 1

LCM(5581,5842) = 32604202 / 1

LCM(5581,5842) = 32604202


Lets's calculate GCF of 920,8472

2 920, 8472
2 460, 4236
2 230, 2118
115, 1059

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32604202/8

Therefore the LCM of Fractions 5581/920,5842/8472 is 32604202/8

Greatest Common Factor of 920,8472 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,8472 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472

Greatest Common Factor

We found the factors 920,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 920,8472 is 8.


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 5581/920, 5842/8472

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 5581/920, 5842/8472?

Answer: LCM of Numerators as per given numbers 5581/920, 5842/8472 is

LCM of Numerators i.e. for 5581,5842 is 32604202

GCF of denominators i.e. for 920,8472 is 8.

Thus, LCM of Fractions is 32604202/8.Finally, LCM of Fractions for 5581/920, 5842/8472 is 32604202/8.