Given numbers are 507,122,349,742

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

The LCM of 507,122,349,742 is 8008794066.

Find LCM of 507,122,349,742 with Prime Factorization

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

2 x 507 x 61 x 349 x 371 = 8008794066

Therefore, the lowest common multiple of 507,122,349,742 is 8008794066.

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.

507 x 122 x 349 x 742 = 16017588132

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.

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

122 : 1, 2, 61, 122

349 : 1, 349

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,122,349,742, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

122:2x 61

349:349

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16017588132/(1x2)

LCM = 16017588132/2

LCM = 8008794066

Thus, we can understand that the LCM of 507,122,349,742 is 8008794066.

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

• LCM of 661, 137, 100, 837
• LCM of 574, 494, 875, 418
• LCM of 676, 459, 106, 150
• LCM of 848, 317, 524, 437
• LCM of 229, 259, 456, 272

1. What is the LCM of 507, 122, 349, 742?

Answer: LCM of 507, 122, 349, 742 is 8008794066.

2. How to calculate the LCM of 507, 122, 349, 742?

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 507, 122, 349, 742.

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}.