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LCM of 689, 412, 576, 465, 947

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


Find the LCM of 689, 412, 576, 465, 947 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 689, 412, 576, 465, 947. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,412,576,465,947

Given numbers are 689,412,576,465,947

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

The LCM of 689,412,576,465,947 is 6000129270720.

Find LCM of 689,412,576,465,947 with Prime Factorization


2 689, 412, 576, 465, 947
2 689, 206, 288, 465, 947
3 689, 103, 144, 465, 947
689, 103, 48, 155, 947

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

2 x 2 x 3 x 689 x 103 x 48 x 155 x 947 = 6000129270720

Therefore, the lowest common multiple of 689,412,576,465,947 is 6000129270720.

LCM Formula to Find Lowest Common Multiple of 689,412,576,465,947

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.

689 x 412 x 576 x 465 x 947 = 72001551248640

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.

689 : 1, 13, 53, 689

412 : 1, 2, 4, 103, 206, 412

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

947 : 1, 947

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,412,576,465,947, is 1.

Now, the common factors can be found like this.

689:13x 53

412:2x 2x 103

576:2x 2x 2x 2x 2x 2x 3x 3

465:3x 5x 31

947:947

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 3 = 12

Therefore, the value for common factors is 12.

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 = 72001551248640/(1x12)

LCM = 72001551248640/12

LCM = 6000129270720

Thus, we can understand that the LCM of 689,412,576,465,947 is 6000129270720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 412, 576, 465, 947

1. What is the LCM of 689, 412, 576, 465, 947?

Answer: LCM of 689, 412, 576, 465, 947 is 6000129270720.

2. How to calculate the LCM of 689, 412, 576, 465, 947?

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 689, 412, 576, 465, 947.

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}.