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LCM of 616, 150, 411, 416, 599

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


Find the LCM of 616, 150, 411, 416, 599 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 616, 150, 411, 416, 599. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,150,411,416,599

Given numbers are 616,150,411,416,599

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

The LCM of 616,150,411,416,599 is 197148151200.

Find LCM of 616,150,411,416,599 with Prime Factorization


2 616, 150, 411, 416, 599
2 308, 75, 411, 208, 599
2 154, 75, 411, 104, 599
3 77, 75, 411, 52, 599
77, 25, 137, 52, 599

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

2 x 2 x 2 x 3 x 77 x 25 x 137 x 52 x 599 = 197148151200

Therefore, the lowest common multiple of 616,150,411,416,599 is 197148151200.

LCM Formula to Find Lowest Common Multiple of 616,150,411,416,599

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.

616 x 150 x 411 x 416 x 599 = 9463111257600

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

411 : 1, 3, 137, 411

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

599 : 1, 599

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,150,411,416,599, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

150:2x 3x 5x 5

411:3x 137

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

599:599

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 9463111257600/(1x48)

LCM = 9463111257600/48

LCM = 197148151200

Thus, we can understand that the LCM of 616,150,411,416,599 is 197148151200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 150, 411, 416, 599

1. What is the LCM of 616, 150, 411, 416, 599?

Answer: LCM of 616, 150, 411, 416, 599 is 197148151200.

2. How to calculate the LCM of 616, 150, 411, 416, 599?

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 616, 150, 411, 416, 599.

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}.