Given numbers are 763,217,774,614

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

The LCM of 763,217,774,614 is 5620378554.

Find LCM of 763,217,774,614 with Prime Factorization

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

2 x 7 x 109 x 31 x 387 x 307 = 5620378554

Therefore, the lowest common multiple of 763,217,774,614 is 5620378554.

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.

763 x 217 x 774 x 614 = 78685299756

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.

763 : 1, 7, 109, 763

217 : 1, 7, 31, 217

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,217,774,614, is 1.

Now, the common factors can be found like this.

763:7x 109

217:7x 31

774:2x 3x 3x 43

614:2x 307

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 78685299756/(1x14)

LCM = 78685299756/14

LCM = 5620378554

Thus, we can understand that the LCM of 763,217,774,614 is 5620378554.

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

• LCM of 310, 701, 635, 444
• LCM of 485, 557, 882, 529
• LCM of 625, 724, 725, 730
• LCM of 951, 219, 538, 326
• LCM of 341, 254, 728, 387

1. What is the LCM of 763, 217, 774, 614?

Answer: LCM of 763, 217, 774, 614 is 5620378554.

2. How to calculate the LCM of 763, 217, 774, 614?

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 763, 217, 774, 614.

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}.