Least Common Multiple of 5606/880, 7593/7412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5606/880, 7593/7412 quickly i.e. 42566358/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5606/880, 7593/7412 is 42566358/4.

LCM(5606/880, 7593/7412) = 42566358/4

LCM of 5606/880, 7593/7412

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 5606/880,7593/7412

Given numbers are 5606/880,7593/7412

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 5606,7593

Least Common Multiple of Numerators i.e. LCM of 5606,7593 is 42566358.

GCF of Denominators means GCF of 880,7412 as per the given fractions.

GCF of 880,7412 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5606,7593

LCM of Fractions 5606/880,7593/7412 is 42566358/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 42566358

Least Common Multiple of 5606,7593 with GCF Formula

Least Common Multiple of 5606,7593 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 5606,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5606,7593) = 1

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

GCF(5606,7593) x common factors =1 x 1 = 1

LCM(5606,7593) = ( 5606 × 7593 ) / 1

LCM(5606,7593) = 42566358 / 1

LCM(5606,7593) = 42566358


Lets's calculate GCF of 880,7412

2 880, 7412
2 440, 3706
220, 1853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42566358/4

Therefore the LCM of Fractions 5606/880,7593/7412 is 42566358/4

Greatest Common Factor of 880,7412 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,7412 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 880,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 880,7412 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 5606/880, 7593/7412

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 5606/880, 7593/7412?

Answer: LCM of Numerators as per given numbers 5606/880, 7593/7412 is

LCM of Numerators i.e. for 5606,7593 is 42566358

GCF of denominators i.e. for 880,7412 is 4.

Thus, LCM of Fractions is 42566358/4.Finally, LCM of Fractions for 5606/880, 7593/7412 is 42566358/4.