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LCM of 870, 522, 817, 457

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


Find the LCM of 870, 522, 817, 457 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 870, 522, 817, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 870,522,817,457

Given numbers are 870,522,817,457

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

The LCM of 870,522,817,457 is 974493090.

Find LCM of 870,522,817,457 with Prime Factorization


2 870, 522, 817, 457
3 435, 261, 817, 457
29 145, 87, 817, 457
5, 3, 817, 457

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

2 x 3 x 29 x 5 x 3 x 817 x 457 = 974493090

Therefore, the lowest common multiple of 870,522,817,457 is 974493090.

LCM Formula to Find Lowest Common Multiple of 870,522,817,457

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.

870 x 522 x 817 x 457 = 169561797660

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

817 : 1, 19, 43, 817

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,522,817,457, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

522:2x 3x 3x 29

817:19x 43

457:457

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

2x 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 169561797660/(1x174)

LCM = 169561797660/174

LCM = 974493090

Thus, we can understand that the LCM of 870,522,817,457 is 974493090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 870, 522, 817, 457

1. What is the LCM of 870, 522, 817, 457?

Answer: LCM of 870, 522, 817, 457 is 974493090.

2. How to calculate the LCM of 870, 522, 817, 457?

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 870, 522, 817, 457.

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}.