Least Common Multiple of 712/90, 609/5908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 712/90, 609/5908 quickly i.e. 216804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/90, 609/5908 is 216804.

LCM(712/90, 609/5908) = 216804

LCM of 712/90, 609/5908

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 712/90,609/5908

Given numbers are 712/90,609/5908

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 712,609

Least Common Multiple of Numerators i.e. LCM of 712,609 is 433608.

GCF of Denominators means GCF of 90,5908 as per the given fractions.

GCF of 90,5908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,609

LCM of Fractions 712/90,609/5908 is 216804

Given numbers has no common factors except 1. So, there LCM is their product i.e 433608

Least Common Multiple of 712,609 with GCF Formula

Least Common Multiple of 712,609 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 712,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,609) = 1

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

GCF(712,609) x common factors =1 x 1 = 1

LCM(712,609) = ( 712 × 609 ) / 1

LCM(712,609) = 433608 / 1

LCM(712,609) = 433608


Lets's calculate GCF of 90,5908

2 90, 5908
45, 2954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433608/2

Therefore the LCM of Fractions 712/90,609/5908 is 216804

Greatest Common Factor of 90,5908 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5908 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 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1,2,4,7,14,28,211,422,844,1477,2954,5908

Greatest Common Factor

We found the factors 90,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5908 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 712/90, 609/5908

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 712/90, 609/5908?

Answer: LCM of Numerators as per given numbers 712/90, 609/5908 is

LCM of Numerators i.e. for 712,609 is 433608

GCF of denominators i.e. for 90,5908 is 2.

Thus, LCM of Fractions is 216804.Finally, LCM of Fractions for 712/90, 609/5908 is 216804.