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LCM of 681, 437, 276, 717

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


Find the LCM of 681, 437, 276, 717 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 681, 437, 276, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,437,276,717

Given numbers are 681,437,276,717

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

The LCM of 681,437,276,717 is 284502732.

Find LCM of 681,437,276,717 with Prime Factorization


3 681, 437, 276, 717
23 227, 437, 92, 239
227, 19, 4, 239

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

3 x 23 x 227 x 19 x 4 x 239 = 284502732

Therefore, the lowest common multiple of 681,437,276,717 is 284502732.

LCM Formula to Find Lowest Common Multiple of 681,437,276,717

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.

681 x 437 x 276 x 717 = 58892065524

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.

681 : 1, 3, 227, 681

437 : 1, 19, 23, 437

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,437,276,717, is 1.

Now, the common factors can be found like this.

681:3x 227

437:19x 23

276:2x 2x 3x 23

717:3x 239

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 58892065524/(1x207)

LCM = 58892065524/207

LCM = 284502732

Thus, we can understand that the LCM of 681,437,276,717 is 284502732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 437, 276, 717

1. What is the LCM of 681, 437, 276, 717?

Answer: LCM of 681, 437, 276, 717 is 284502732.

2. How to calculate the LCM of 681, 437, 276, 717?

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 681, 437, 276, 717.

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}.