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LCM of 523, 558, 202, 818, 462

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


Find the LCM of 523, 558, 202, 818, 462 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 523, 558, 202, 818, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,558,202,818,462

Given numbers are 523,558,202,818,462

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

The LCM of 523,558,202,818,462 is 928263544362.

Find LCM of 523,558,202,818,462 with Prime Factorization


2 523, 558, 202, 818, 462
3 523, 279, 101, 409, 231
523, 93, 101, 409, 77

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

2 x 3 x 523 x 93 x 101 x 409 x 77 = 928263544362

Therefore, the lowest common multiple of 523,558,202,818,462 is 928263544362.

LCM Formula to Find Lowest Common Multiple of 523,558,202,818,462

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.

523 x 558 x 202 x 818 x 462 = 22278325064688

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.

523 : 1, 523

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

202 : 1, 2, 101, 202

818 : 1, 2, 409, 818

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,558,202,818,462, is 1.

Now, the common factors can be found like this.

523:523

558:2x 3x 3x 31

202:2x 101

818:2x 409

462:2x 3x 7x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 22278325064688/(1x24)

LCM = 22278325064688/24

LCM = 928263544362

Thus, we can understand that the LCM of 523,558,202,818,462 is 928263544362.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 558, 202, 818, 462

1. What is the LCM of 523, 558, 202, 818, 462?

Answer: LCM of 523, 558, 202, 818, 462 is 928263544362.

2. How to calculate the LCM of 523, 558, 202, 818, 462?

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 523, 558, 202, 818, 462.

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}.