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LCM of 910, 468, 796, 566

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


Find the LCM of 910, 468, 796, 566 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 910, 468, 796, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,468,796,566

Given numbers are 910,468,796,566

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

The LCM of 910,468,796,566 is 922472460.

Find LCM of 910,468,796,566 with Prime Factorization


2 910, 468, 796, 566
2 455, 234, 398, 283
13 455, 117, 199, 283
35, 9, 199, 283

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

2 x 2 x 13 x 35 x 9 x 199 x 283 = 922472460

Therefore, the lowest common multiple of 910,468,796,566 is 922472460.

LCM Formula to Find Lowest Common Multiple of 910,468,796,566

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.

910 x 468 x 796 x 566 = 191874271680

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

796 : 1, 2, 4, 199, 398, 796

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,468,796,566, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

468:2x 2x 3x 3x 13

796:2x 2x 199

566:2x 283

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 191874271680/(2x104)

LCM = 191874271680/208

LCM = 922472460

Thus, we can understand that the LCM of 910,468,796,566 is 922472460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 468, 796, 566

1. What is the LCM of 910, 468, 796, 566?

Answer: LCM of 910, 468, 796, 566 is 922472460.

2. How to calculate the LCM of 910, 468, 796, 566?

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 910, 468, 796, 566.

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}.