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LCM of 213, 457, 902, 355

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


Find the LCM of 213, 457, 902, 355 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 213, 457, 902, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 213,457,902,355

Given numbers are 213,457,902,355

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

The LCM of 213,457,902,355 is 439007910.

Find LCM of 213,457,902,355 with Prime Factorization


71 213, 457, 902, 355
3, 457, 902, 5

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

71 x 3 x 457 x 902 x 5 = 439007910

Therefore, the lowest common multiple of 213,457,902,355 is 439007910.

LCM Formula to Find Lowest Common Multiple of 213,457,902,355

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.

213 x 457 x 902 x 355 = 31169561610

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.

213 : 1, 3, 71, 213

457 : 1, 457

902 : 1, 2, 11, 22, 41, 82, 451, 902

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,457,902,355, is 1.

Now, the common factors can be found like this.

213:3x 71

457:457

902:2x 11x 41

355:5x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

71 = 71

Therefore, the value for common factors is 71.

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 = 31169561610/(1x71)

LCM = 31169561610/71

LCM = 439007910

Thus, we can understand that the LCM of 213,457,902,355 is 439007910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 213, 457, 902, 355

1. What is the LCM of 213, 457, 902, 355?

Answer: LCM of 213, 457, 902, 355 is 439007910.

2. How to calculate the LCM of 213, 457, 902, 355?

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 213, 457, 902, 355.

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}.