LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 90, 493, 580

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 90, 493, 580 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 90, 493, 580. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 90,493,580

Given numbers are 90,493,580

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 90,493,580 is 88740.

Find LCM of 90,493,580 with Prime Factorization


2 90, 493, 580
5 45, 493, 290
29 9, 493, 58
9, 17, 2

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 29 x 9 x 17 x 2 = 88740

Therefore, the lowest common multiple of 90,493,580 is 88740.

LCM Formula to Find Lowest Common Multiple of 90,493,580

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

90 x 493 x 580 = 25734600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

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

493 : 1, 17, 29, 493

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 90,493,580, is 1.

Now, the common factors can be found like this.

90:2x 3x 3x 5

493:17x 29

580:2x 2x 5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 29 = 290

Therefore, the value for common factors is 290.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 25734600/(1x290)

LCM = 25734600/290

LCM = 88740

Thus, we can understand that the LCM of 90,493,580 is 88740.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 90, 493, 580

1. What is the LCM of 90, 493, 580?

Answer: LCM of 90, 493, 580 is 88740.

2. How to calculate the LCM of 90, 493, 580?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 90, 493, 580.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.