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LCM of 731, 625, 518, 816, 772

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


Find the LCM of 731, 625, 518, 816, 772 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 731, 625, 518, 816, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,625,518,816,772

Given numbers are 731,625,518,816,772

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

The LCM of 731,625,518,816,772 is 1096214910000.

Find LCM of 731,625,518,816,772 with Prime Factorization


2 731, 625, 518, 816, 772
2 731, 625, 259, 408, 386
17 731, 625, 259, 204, 193
43, 625, 259, 12, 193

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

2 x 2 x 17 x 43 x 625 x 259 x 12 x 193 = 1096214910000

Therefore, the lowest common multiple of 731,625,518,816,772 is 1096214910000.

LCM Formula to Find Lowest Common Multiple of 731,625,518,816,772

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.

731 x 625 x 518 x 816 x 772 = 149085227760000

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.

731 : 1, 17, 43, 731

625 : 1, 5, 25, 125, 625

518 : 1, 2, 7, 14, 37, 74, 259, 518

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,625,518,816,772, is 1.

Now, the common factors can be found like this.

731:17x 43

625:5x 5x 5x 5

518:2x 7x 37

816:2x 2x 2x 2x 3x 17

772:2x 2x 193

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 17 = 136

Therefore, the value for common factors is 136.

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 = 149085227760000/(1x136)

LCM = 149085227760000/136

LCM = 1096214910000

Thus, we can understand that the LCM of 731,625,518,816,772 is 1096214910000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 625, 518, 816, 772

1. What is the LCM of 731, 625, 518, 816, 772?

Answer: LCM of 731, 625, 518, 816, 772 is 1096214910000.

2. How to calculate the LCM of 731, 625, 518, 816, 772?

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 731, 625, 518, 816, 772.

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}.