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LCM of 724, 814, 884, 966

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


Find the LCM of 724, 814, 884, 966 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 724, 814, 884, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,814,884,966

Given numbers are 724,814,884,966

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

The LCM of 724,814,884,966 is 31453746324.

Find LCM of 724,814,884,966 with Prime Factorization


2 724, 814, 884, 966
2 362, 407, 442, 483
181, 407, 221, 483

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

2 x 2 x 181 x 407 x 221 x 483 = 31453746324

Therefore, the lowest common multiple of 724,814,884,966 is 31453746324.

LCM Formula to Find Lowest Common Multiple of 724,814,884,966

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.

724 x 814 x 884 x 966 = 503259941184

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.

724 : 1, 2, 4, 181, 362, 724

814 : 1, 2, 11, 22, 37, 74, 407, 814

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,814,884,966, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

814:2x 11x 37

884:2x 2x 13x 17

966:2x 3x 7x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 503259941184/(2x8)

LCM = 503259941184/16

LCM = 31453746324

Thus, we can understand that the LCM of 724,814,884,966 is 31453746324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 814, 884, 966

1. What is the LCM of 724, 814, 884, 966?

Answer: LCM of 724, 814, 884, 966 is 31453746324.

2. How to calculate the LCM of 724, 814, 884, 966?

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 724, 814, 884, 966.

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}.