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LCM of 716, 338, 614, 523, 128

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


Find the LCM of 716, 338, 614, 523, 128 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 716, 338, 614, 523, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,338,614,523,128

Given numbers are 716,338,614,523,128

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

The LCM of 716,338,614,523,128 is 621712743808.

Find LCM of 716,338,614,523,128 with Prime Factorization


2 716, 338, 614, 523, 128
2 358, 169, 307, 523, 64
179, 169, 307, 523, 32

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

2 x 2 x 179 x 169 x 307 x 523 x 32 = 621712743808

Therefore, the lowest common multiple of 716,338,614,523,128 is 621712743808.

LCM Formula to Find Lowest Common Multiple of 716,338,614,523,128

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.

716 x 338 x 614 x 523 x 128 = 9947403900928

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.

716 : 1, 2, 4, 179, 358, 716

338 : 1, 2, 13, 26, 169, 338

614 : 1, 2, 307, 614

523 : 1, 523

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,338,614,523,128, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

338:2x 13x 13

614:2x 307

523:523

128:2x 2x 2x 2x 2x 2x 2

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9947403900928/(1x16)

LCM = 9947403900928/16

LCM = 621712743808

Thus, we can understand that the LCM of 716,338,614,523,128 is 621712743808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 338, 614, 523, 128

1. What is the LCM of 716, 338, 614, 523, 128?

Answer: LCM of 716, 338, 614, 523, 128 is 621712743808.

2. How to calculate the LCM of 716, 338, 614, 523, 128?

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 716, 338, 614, 523, 128.

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}.