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LCM of 713, 664, 874, 747, 830

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


Find the LCM of 713, 664, 874, 747, 830 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 713, 664, 874, 747, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,664,874,747,830

Given numbers are 713,664,874,747,830

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

The LCM of 713,664,874,747,830 is 404784360.

Find LCM of 713,664,874,747,830 with Prime Factorization


2 713, 664, 874, 747, 830
23 713, 332, 437, 747, 415
83 31, 332, 19, 747, 415
31, 4, 19, 9, 5

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

2 x 23 x 83 x 31 x 4 x 19 x 9 x 5 = 404784360

Therefore, the lowest common multiple of 713,664,874,747,830 is 404784360.

LCM Formula to Find Lowest Common Multiple of 713,664,874,747,830

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.

713 x 664 x 874 x 747 x 830 = 256547469955680

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.

713 : 1, 23, 31, 713

664 : 1, 2, 4, 8, 83, 166, 332, 664

874 : 1, 2, 19, 23, 38, 46, 437, 874

747 : 1, 3, 9, 83, 249, 747

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,664,874,747,830, is 1.

Now, the common factors can be found like this.

713:23x 31

664:2x 2x 2x 83

874:2x 19x 23

747:3x 3x 83

830:2x 5x 83

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 23x 83x 83 = 633788

Therefore, the value for common factors is 633788.

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 = 256547469955680/(1x633788)

LCM = 256547469955680/633788

LCM = 404784360

Thus, we can understand that the LCM of 713,664,874,747,830 is 404784360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 664, 874, 747, 830

1. What is the LCM of 713, 664, 874, 747, 830?

Answer: LCM of 713, 664, 874, 747, 830 is 404784360.

2. How to calculate the LCM of 713, 664, 874, 747, 830?

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 713, 664, 874, 747, 830.

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}.