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LCM of 559, 462, 949, 957, 660

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


Find the LCM of 559, 462, 949, 957, 660 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 559, 462, 949, 957, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,462,949,957,660

Given numbers are 559,462,949,957,660

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

The LCM of 559,462,949,957,660 is 5467321860.

Find LCM of 559,462,949,957,660 with Prime Factorization


2 559, 462, 949, 957, 660
3 559, 231, 949, 957, 330
11 559, 77, 949, 319, 110
13 559, 7, 949, 29, 10
43, 7, 73, 29, 10

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

2 x 3 x 11 x 13 x 43 x 7 x 73 x 29 x 10 = 5467321860

Therefore, the lowest common multiple of 559,462,949,957,660 is 5467321860.

LCM Formula to Find Lowest Common Multiple of 559,462,949,957,660

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.

559 x 462 x 949 x 957 x 660 = 154801751144040

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.

559 : 1, 13, 43, 559

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

949 : 1, 13, 73, 949

957 : 1, 3, 11, 29, 33, 87, 319, 957

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,462,949,957,660, is 1.

Now, the common factors can be found like this.

559:13x 43

462:2x 3x 7x 11

949:13x 73

957:3x 11x 29

660:2x 2x 3x 5x 11

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 3x 11x 11x 13 = 28314

Therefore, the value for common factors is 28314.

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 = 154801751144040/(1x28314)

LCM = 154801751144040/28314

LCM = 5467321860

Thus, we can understand that the LCM of 559,462,949,957,660 is 5467321860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 462, 949, 957, 660

1. What is the LCM of 559, 462, 949, 957, 660?

Answer: LCM of 559, 462, 949, 957, 660 is 5467321860.

2. How to calculate the LCM of 559, 462, 949, 957, 660?

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 559, 462, 949, 957, 660.

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}.