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LCM of 210, 728, 287, 895, 913

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


Find the LCM of 210, 728, 287, 895, 913 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 210, 728, 287, 895, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,728,287,895,913

Given numbers are 210,728,287,895,913

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

The LCM of 210,728,287,895,913 is 73169536440.

Find LCM of 210,728,287,895,913 with Prime Factorization


2 210, 728, 287, 895, 913
5 105, 364, 287, 895, 913
7 21, 364, 287, 179, 913
3, 52, 41, 179, 913

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

2 x 5 x 7 x 3 x 52 x 41 x 179 x 913 = 73169536440

Therefore, the lowest common multiple of 210,728,287,895,913 is 73169536440.

LCM Formula to Find Lowest Common Multiple of 210,728,287,895,913

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.

210 x 728 x 287 x 895 x 913 = 35853072855600

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

287 : 1, 7, 41, 287

895 : 1, 5, 179, 895

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,728,287,895,913, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

728:2x 2x 2x 7x 13

287:7x 41

895:5x 179

913:11x 83

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

2x 5x 7x 7 = 490

Therefore, the value for common factors is 490.

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 = 35853072855600/(1x490)

LCM = 35853072855600/490

LCM = 73169536440

Thus, we can understand that the LCM of 210,728,287,895,913 is 73169536440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 728, 287, 895, 913

1. What is the LCM of 210, 728, 287, 895, 913?

Answer: LCM of 210, 728, 287, 895, 913 is 73169536440.

2. How to calculate the LCM of 210, 728, 287, 895, 913?

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 210, 728, 287, 895, 913.

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}.