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LCM of 605, 412, 567, 990

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


Find the LCM of 605, 412, 567, 990 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 605, 412, 567, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,412,567,990

Given numbers are 605,412,567,990

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

The LCM of 605,412,567,990 is 141330420.

Find LCM of 605,412,567,990 with Prime Factorization


2 605, 412, 567, 990
3 605, 206, 567, 495
3 605, 206, 189, 165
5 605, 206, 63, 55
11 121, 206, 63, 11
1, 206, 63, 11

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

2 x 3 x 3 x 5 x 11 x 1 x 206 x 63 x 11 = 141330420

Therefore, the lowest common multiple of 605,412,567,990 is 141330420.

LCM Formula to Find Lowest Common Multiple of 605,412,567,990

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.

605 x 412 x 567 x 990 = 139917115800

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.

605 : 1, 5, 11, 55, 121, 605

412 : 1, 2, 4, 103, 206, 412

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,412,567,990, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

412:2x 2x 103

567:3x 3x 3x 3x 7

990:2x 3x 3x 5x 11

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

2x 3x 3x 5x 11 = 990

Therefore, the value for common factors is 990.

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 = 139917115800/(1x990)

LCM = 139917115800/990

LCM = 141330420

Thus, we can understand that the LCM of 605,412,567,990 is 141330420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 412, 567, 990

1. What is the LCM of 605, 412, 567, 990?

Answer: LCM of 605, 412, 567, 990 is 141330420.

2. How to calculate the LCM of 605, 412, 567, 990?

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 605, 412, 567, 990.

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}.