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LCM of 607, 784, 558, 342, 682

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


Find the LCM of 607, 784, 558, 342, 682 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 607, 784, 558, 342, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,784,558,342,682

Given numbers are 607,784,558,342,682

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

The LCM of 607,784,558,342,682 is 27749505168.

Find LCM of 607,784,558,342,682 with Prime Factorization


2 607, 784, 558, 342, 682
3 607, 392, 279, 171, 341
3 607, 392, 93, 57, 341
31 607, 392, 31, 19, 341
607, 392, 1, 19, 11

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

2 x 3 x 3 x 31 x 607 x 392 x 1 x 19 x 11 = 27749505168

Therefore, the lowest common multiple of 607,784,558,342,682 is 27749505168.

LCM Formula to Find Lowest Common Multiple of 607,784,558,342,682

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.

607 x 784 x 558 x 342 x 682 = 61936895534976

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.

607 : 1, 607

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,784,558,342,682, is 1.

Now, the common factors can be found like this.

607:607

784:2x 2x 2x 2x 7x 7

558:2x 3x 3x 31

342:2x 3x 3x 19

682:2x 11x 31

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 3x 3x 31 = 2232

Therefore, the value for common factors is 2232.

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 = 61936895534976/(1x2232)

LCM = 61936895534976/2232

LCM = 27749505168

Thus, we can understand that the LCM of 607,784,558,342,682 is 27749505168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 784, 558, 342, 682

1. What is the LCM of 607, 784, 558, 342, 682?

Answer: LCM of 607, 784, 558, 342, 682 is 27749505168.

2. How to calculate the LCM of 607, 784, 558, 342, 682?

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 607, 784, 558, 342, 682.

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}.