Given numbers are 342,507,587,779

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

The LCM of 342,507,587,779 is 1391024466.

Find LCM of 342,507,587,779 with Prime Factorization

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

3 x 19 x 6 x 169 x 587 x 41 = 1391024466

Therefore, the lowest common multiple of 342,507,587,779 is 1391024466.

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.

342 x 507 x 587 x 779 = 79288394562

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

507 : 1, 3, 13, 39, 169, 507

587 : 1, 587

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,507,587,779, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

507:3x 13x 13

587:587

779:19x 41

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 79288394562/(1x57)

LCM = 79288394562/57

LCM = 1391024466

Thus, we can understand that the LCM of 342,507,587,779 is 1391024466.

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

• LCM of 649, 896, 997, 867
• LCM of 583, 578, 770, 900
• LCM of 813, 639, 568, 772
• LCM of 809, 591, 495, 341
• LCM of 919, 216, 347, 607

1. What is the LCM of 342, 507, 587, 779?

Answer: LCM of 342, 507, 587, 779 is 1391024466.

2. How to calculate the LCM of 342, 507, 587, 779?

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 342, 507, 587, 779.

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}.