Given numbers are 761,685,680,361,519

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

The LCM of 761,685,680,361,519 is 13282771338840.

Find LCM of 761,685,680,361,519 with Prime Factorization

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

5 x 761 x 137 x 136 x 361 x 519 = 13282771338840

Therefore, the lowest common multiple of 761,685,680,361,519 is 13282771338840.

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.

761 x 685 x 680 x 361 x 519 = 66413856694200

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.

761 : 1, 761

685 : 1, 5, 137, 685

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

361 : 1, 19, 361

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,685,680,361,519, is 1.

Now, the common factors can be found like this.

761:761

685:5x 137

680:2x 2x 2x 5x 17

361:19x 19

519:3x 173

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

5 = 5

Therefore, the value for common factors is 5.

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 = 66413856694200/(1x5)

LCM = 66413856694200/5

LCM = 13282771338840

Thus, we can understand that the LCM of 761,685,680,361,519 is 13282771338840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 529, 419, 484, 893, 357
• LCM of 509, 882, 421, 479, 225
• LCM of 172, 708, 299, 100, 965
• LCM of 364, 494, 943, 371, 492
• LCM of 580, 501, 445, 797, 363

1. What is the LCM of 761, 685, 680, 361, 519?

Answer: LCM of 761, 685, 680, 361, 519 is 13282771338840.

2. How to calculate the LCM of 761, 685, 680, 361, 519?

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 761, 685, 680, 361, 519.

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}.