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LCM of 990, 407, 989, 406

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


Find the LCM of 990, 407, 989, 406 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 990, 407, 989, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,407,989,406

Given numbers are 990,407,989,406

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

The LCM of 990,407,989,406 is 7354095210.

Find LCM of 990,407,989,406 with Prime Factorization


2 990, 407, 989, 406
11 495, 407, 989, 203
45, 37, 989, 203

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

2 x 11 x 45 x 37 x 989 x 203 = 7354095210

Therefore, the lowest common multiple of 990,407,989,406 is 7354095210.

LCM Formula to Find Lowest Common Multiple of 990,407,989,406

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.

990 x 407 x 989 x 406 = 161790094620

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.

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

407 : 1, 11, 37, 407

989 : 1, 23, 43, 989

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,407,989,406, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

407:11x 37

989:23x 43

406:2x 7x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 161790094620/(1x22)

LCM = 161790094620/22

LCM = 7354095210

Thus, we can understand that the LCM of 990,407,989,406 is 7354095210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 407, 989, 406

1. What is the LCM of 990, 407, 989, 406?

Answer: LCM of 990, 407, 989, 406 is 7354095210.

2. How to calculate the LCM of 990, 407, 989, 406?

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 990, 407, 989, 406.

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}.