Least Common Multiple of 5674/90, 9911/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5674/90, 9911/590 quickly i.e. 56235014/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5674/90, 9911/590 is 56235014/10.

LCM(5674/90, 9911/590) = 56235014/10

LCM of 5674/90, 9911/590

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 5674/90,9911/590

Given numbers are 5674/90,9911/590

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 5674,9911

Least Common Multiple of Numerators i.e. LCM of 5674,9911 is 56235014.

GCF of Denominators means GCF of 90,590 as per the given fractions.

GCF of 90,590 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5674,9911

LCM of Fractions 5674/90,9911/590 is 56235014/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 56235014

Least Common Multiple of 5674,9911 with GCF Formula

Least Common Multiple of 5674,9911 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 5674,9911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5674,9911) = 1

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

GCF(5674,9911) x common factors =1 x 1 = 1

LCM(5674,9911) = ( 5674 × 9911 ) / 1

LCM(5674,9911) = 56235014 / 1

LCM(5674,9911) = 56235014


Lets's calculate GCF of 90,590

2 90, 590
5 45, 295
9, 59

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56235014/10

Therefore the LCM of Fractions 5674/90,9911/590 is 56235014/10

Greatest Common Factor of 90,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,590 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 90,590 . The biggest common factor number is the GCF number.
So the greatest common factor 90,590 is 10.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5674/90, 9911/590

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 5674/90, 9911/590?

Answer: LCM of Numerators as per given numbers 5674/90, 9911/590 is

LCM of Numerators i.e. for 5674,9911 is 56235014

GCF of denominators i.e. for 90,590 is 10.

Thus, LCM of Fractions is 56235014/10.Finally, LCM of Fractions for 5674/90, 9911/590 is 56235014/10.