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LCM of 362, 724, 416, 990

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


Find the LCM of 362, 724, 416, 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 362, 724, 416, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,724,416,990

Given numbers are 362,724,416,990

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

The LCM of 362,724,416,990 is 37271520.

Find LCM of 362,724,416,990 with Prime Factorization


2 362, 724, 416, 990
2 181, 362, 208, 495
181 181, 181, 104, 495
1, 1, 104, 495

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

2 x 2 x 181 x 1 x 1 x 104 x 495 = 37271520

Therefore, the lowest common multiple of 362,724,416,990 is 37271520.

LCM Formula to Find Lowest Common Multiple of 362,724,416,990

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.

362 x 724 x 416 x 990 = 107938321920

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.

362 : 1, 2, 181, 362

724 : 1, 2, 4, 181, 362, 724

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,724,416,990, is 2.

Now, the common factors can be found like this.

362:2x 181

724:2x 2x 181

416:2x 2x 2x 2x 2x 13

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 2x 2x 181 = 1448

Therefore, the value for common factors is 1448.

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 = 107938321920/(2x1448)

LCM = 107938321920/2896

LCM = 37271520

Thus, we can understand that the LCM of 362,724,416,990 is 37271520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 724, 416, 990

1. What is the LCM of 362, 724, 416, 990?

Answer: LCM of 362, 724, 416, 990 is 37271520.

2. How to calculate the LCM of 362, 724, 416, 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 362, 724, 416, 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}.