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LCM of 528, 458, 213, 385, 650

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


Find the LCM of 528, 458, 213, 385, 650 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 528, 458, 213, 385, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,458,213,385,650

Given numbers are 528,458,213,385,650

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

The LCM of 528,458,213,385,650 is 19530310800.

Find LCM of 528,458,213,385,650 with Prime Factorization


2 528, 458, 213, 385, 650
3 264, 229, 213, 385, 325
5 88, 229, 71, 385, 325
11 88, 229, 71, 77, 65
8, 229, 71, 7, 65

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

2 x 3 x 5 x 11 x 8 x 229 x 71 x 7 x 65 = 19530310800

Therefore, the lowest common multiple of 528,458,213,385,650 is 19530310800.

LCM Formula to Find Lowest Common Multiple of 528,458,213,385,650

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.

528 x 458 x 213 x 385 x 650 = 12890005128000

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

458 : 1, 2, 229, 458

213 : 1, 3, 71, 213

385 : 1, 5, 7, 11, 35, 55, 77, 385

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,458,213,385,650, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

458:2x 229

213:3x 71

385:5x 7x 11

650:2x 5x 5x 13

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 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 12890005128000/(1x660)

LCM = 12890005128000/660

LCM = 19530310800

Thus, we can understand that the LCM of 528,458,213,385,650 is 19530310800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 458, 213, 385, 650

1. What is the LCM of 528, 458, 213, 385, 650?

Answer: LCM of 528, 458, 213, 385, 650 is 19530310800.

2. How to calculate the LCM of 528, 458, 213, 385, 650?

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 528, 458, 213, 385, 650.

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}.