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LCM of 410, 523, 351, 922, 470

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


Find the LCM of 410, 523, 351, 922, 470 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 410, 523, 351, 922, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,523,351,922,470

Given numbers are 410,523,351,922,470

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

The LCM of 410,523,351,922,470 is 1630765238310.

Find LCM of 410,523,351,922,470 with Prime Factorization


2 410, 523, 351, 922, 470
5 205, 523, 351, 461, 235
41, 523, 351, 461, 47

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

2 x 5 x 41 x 523 x 351 x 461 x 47 = 1630765238310

Therefore, the lowest common multiple of 410,523,351,922,470 is 1630765238310.

LCM Formula to Find Lowest Common Multiple of 410,523,351,922,470

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.

410 x 523 x 351 x 922 x 470 = 32615304766200

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

523 : 1, 523

351 : 1, 3, 9, 13, 27, 39, 117, 351

922 : 1, 2, 461, 922

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,523,351,922,470, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

523:523

351:3x 3x 3x 13

922:2x 461

470:2x 5x 47

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 5 = 20

Therefore, the value for common factors is 20.

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 = 32615304766200/(1x20)

LCM = 32615304766200/20

LCM = 1630765238310

Thus, we can understand that the LCM of 410,523,351,922,470 is 1630765238310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 523, 351, 922, 470

1. What is the LCM of 410, 523, 351, 922, 470?

Answer: LCM of 410, 523, 351, 922, 470 is 1630765238310.

2. How to calculate the LCM of 410, 523, 351, 922, 470?

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 410, 523, 351, 922, 470.

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}.