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LCM of 572, 946, 589, 465

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


Find the LCM of 572, 946, 589, 465 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 572, 946, 589, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,946,589,465

Given numbers are 572,946,589,465

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

The LCM of 572,946,589,465 is 217305660.

Find LCM of 572,946,589,465 with Prime Factorization


2 572, 946, 589, 465
11 286, 473, 589, 465
31 26, 43, 589, 465
26, 43, 19, 15

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

2 x 11 x 31 x 26 x 43 x 19 x 15 = 217305660

Therefore, the lowest common multiple of 572,946,589,465 is 217305660.

LCM Formula to Find Lowest Common Multiple of 572,946,589,465

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.

572 x 946 x 589 x 465 = 148202460120

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

946 : 1, 2, 11, 22, 43, 86, 473, 946

589 : 1, 19, 31, 589

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,946,589,465, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

946:2x 11x 43

589:19x 31

465:3x 5x 31

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

2x 11x 31 = 682

Therefore, the value for common factors is 682.

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 = 148202460120/(1x682)

LCM = 148202460120/682

LCM = 217305660

Thus, we can understand that the LCM of 572,946,589,465 is 217305660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 946, 589, 465

1. What is the LCM of 572, 946, 589, 465?

Answer: LCM of 572, 946, 589, 465 is 217305660.

2. How to calculate the LCM of 572, 946, 589, 465?

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 572, 946, 589, 465.

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}.