Least Common Multiple of 5842/100, 6220/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5842/100, 6220/592 quickly i.e. 4542155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5842/100, 6220/592 is 4542155.

LCM(5842/100, 6220/592) = 4542155

LCM of 5842/100, 6220/592

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 5842/100,6220/592

Given numbers are 5842/100,6220/592

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 5842,6220

Least Common Multiple of Numerators i.e. LCM of 5842,6220 is 18168620.

GCF of Denominators means GCF of 100,592 as per the given fractions.

GCF of 100,592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5842,6220

LCM of Fractions 5842/100,6220/592 is 4542155

2 5842, 6220
2921, 3110

∴ So the LCM of the given numbers is 2 x 2921 x 3110 = 18168620

Least Common Multiple of 5842,6220 with GCF Formula

Least Common Multiple of 5842,6220 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 5842,6220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5842,6220) = 2

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

GCF(5842,6220) x common factors =2 x 1 = 2

LCM(5842,6220) = ( 5842 × 6220 ) / 2

LCM(5842,6220) = 36337240 / 2

LCM(5842,6220) = 18168620


Lets's calculate GCF of 100,592

2 100, 592
2 50, 296
25, 148

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18168620/4

Therefore the LCM of Fractions 5842/100,6220/592 is 4542155

Greatest Common Factor of 100,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,592 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 100,592 . The biggest common factor number is the GCF number.
So the greatest common factor 100,592 is 4.


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 5842/100, 6220/592

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 5842/100, 6220/592?

Answer: LCM of Numerators as per given numbers 5842/100, 6220/592 is

LCM of Numerators i.e. for 5842,6220 is 18168620

GCF of denominators i.e. for 100,592 is 4.

Thus, LCM of Fractions is 4542155.Finally, LCM of Fractions for 5842/100, 6220/592 is 4542155.