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LCM of 308, 685, 416, 122, 579

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


Find the LCM of 308, 685, 416, 122, 579 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 308, 685, 416, 122, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,685,416,122,579

Given numbers are 308,685,416,122,579

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

The LCM of 308,685,416,122,579 is 774966672480.

Find LCM of 308,685,416,122,579 with Prime Factorization


2 308, 685, 416, 122, 579
2 154, 685, 208, 61, 579
77, 685, 104, 61, 579

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

2 x 2 x 77 x 685 x 104 x 61 x 579 = 774966672480

Therefore, the lowest common multiple of 308,685,416,122,579 is 774966672480.

LCM Formula to Find Lowest Common Multiple of 308,685,416,122,579

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.

308 x 685 x 416 x 122 x 579 = 6199733379840

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

685 : 1, 5, 137, 685

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

122 : 1, 2, 61, 122

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,685,416,122,579, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

685:5x 137

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

122:2x 61

579:3x 193

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6199733379840/(1x8)

LCM = 6199733379840/8

LCM = 774966672480

Thus, we can understand that the LCM of 308,685,416,122,579 is 774966672480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 685, 416, 122, 579

1. What is the LCM of 308, 685, 416, 122, 579?

Answer: LCM of 308, 685, 416, 122, 579 is 774966672480.

2. How to calculate the LCM of 308, 685, 416, 122, 579?

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 308, 685, 416, 122, 579.

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}.