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LCM of 356, 924, 583, 606

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


Find the LCM of 356, 924, 583, 606 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 356, 924, 583, 606. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,924,583,606

Given numbers are 356,924,583,606

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

The LCM of 356,924,583,606 is 440209308.

Find LCM of 356,924,583,606 with Prime Factorization


2 356, 924, 583, 606
2 178, 462, 583, 303
3 89, 231, 583, 303
11 89, 77, 583, 101
89, 7, 53, 101

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

2 x 2 x 3 x 11 x 89 x 7 x 53 x 101 = 440209308

Therefore, the lowest common multiple of 356,924,583,606 is 440209308.

LCM Formula to Find Lowest Common Multiple of 356,924,583,606

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.

356 x 924 x 583 x 606 = 116215257312

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.

356 : 1, 2, 4, 89, 178, 356

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

583 : 1, 11, 53, 583

606 : 1, 2, 3, 6, 101, 202, 303, 606

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,924,583,606, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

924:2x 2x 3x 7x 11

583:11x 53

606:2x 3x 101

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 11 = 264

Therefore, the value for common factors is 264.

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 = 116215257312/(1x264)

LCM = 116215257312/264

LCM = 440209308

Thus, we can understand that the LCM of 356,924,583,606 is 440209308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 924, 583, 606

1. What is the LCM of 356, 924, 583, 606?

Answer: LCM of 356, 924, 583, 606 is 440209308.

2. How to calculate the LCM of 356, 924, 583, 606?

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 356, 924, 583, 606.

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}.