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LCM of 552, 924, 814, 607, 682

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


Find the LCM of 552, 924, 814, 607, 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 552, 924, 814, 607, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,924,814,607,682

Given numbers are 552,924,814,607,682

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

The LCM of 552,924,814,607,682 is 29592517416.

Find LCM of 552,924,814,607,682 with Prime Factorization


2 552, 924, 814, 607, 682
2 276, 462, 407, 607, 341
3 138, 231, 407, 607, 341
11 46, 77, 407, 607, 341
46, 7, 37, 607, 31

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

2 x 2 x 3 x 11 x 46 x 7 x 37 x 607 x 31 = 29592517416

Therefore, the lowest common multiple of 552,924,814,607,682 is 29592517416.

LCM Formula to Find Lowest Common Multiple of 552,924,814,607,682

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.

552 x 924 x 814 x 607 x 682 = 171873341152128

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

814 : 1, 2, 11, 22, 37, 74, 407, 814

607 : 1, 607

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 552,924,814,607,682, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

924:2x 2x 3x 7x 11

814:2x 11x 37

607:607

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 2x 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 171873341152128/(1x5808)

LCM = 171873341152128/5808

LCM = 29592517416

Thus, we can understand that the LCM of 552,924,814,607,682 is 29592517416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 924, 814, 607, 682

1. What is the LCM of 552, 924, 814, 607, 682?

Answer: LCM of 552, 924, 814, 607, 682 is 29592517416.

2. How to calculate the LCM of 552, 924, 814, 607, 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 552, 924, 814, 607, 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}.