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LCM of 926, 959, 814, 997, 457

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


Find the LCM of 926, 959, 814, 997, 457 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 926, 959, 814, 997, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,959,814,997,457

Given numbers are 926,959,814,997,457

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

The LCM of 926,959,814,997,457 is 164677915658102.

Find LCM of 926,959,814,997,457 with Prime Factorization


2 926, 959, 814, 997, 457
463, 959, 407, 997, 457

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

2 x 463 x 959 x 407 x 997 x 457 = 164677915658102

Therefore, the lowest common multiple of 926,959,814,997,457 is 164677915658102.

LCM Formula to Find Lowest Common Multiple of 926,959,814,997,457

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.

926 x 959 x 814 x 997 x 457 = 329355831316204

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.

926 : 1, 2, 463, 926

959 : 1, 7, 137, 959

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

997 : 1, 997

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,959,814,997,457, is 1.

Now, the common factors can be found like this.

926:2x 463

959:7x 137

814:2x 11x 37

997:997

457:457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 329355831316204/(1x2)

LCM = 329355831316204/2

LCM = 164677915658102

Thus, we can understand that the LCM of 926,959,814,997,457 is 164677915658102.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 959, 814, 997, 457

1. What is the LCM of 926, 959, 814, 997, 457?

Answer: LCM of 926, 959, 814, 997, 457 is 164677915658102.

2. How to calculate the LCM of 926, 959, 814, 997, 457?

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 926, 959, 814, 997, 457.

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}.