Given numbers are 507,350,428,687,556

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

The LCM of 507,350,428,687,556 is 1208759943300.

Find LCM of 507,350,428,687,556 with Prime Factorization

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

2 x 2 x 3 x 169 x 175 x 107 x 229 x 139 = 1208759943300

Therefore, the lowest common multiple of 507,350,428,687,556 is 1208759943300.

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 350 x 428 x 687 x 556 = 29010238639200

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

428 : 1, 2, 4, 107, 214, 428

687 : 1, 3, 229, 687

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,350,428,687,556, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

350:2x 5x 5x 7

428:2x 2x 107

687:3x 229

556:2x 2x 139

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 29010238639200/(1x24)

LCM = 29010238639200/24

LCM = 1208759943300

Thus, we can understand that the LCM of 507,350,428,687,556 is 1208759943300.

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

• LCM of 257, 443, 883, 460, 222
• LCM of 339, 677, 916, 826, 294
• LCM of 360, 354, 225, 905, 548
• LCM of 509, 796, 906, 665, 996
• LCM of 178, 848, 829, 712, 680

1. What is the LCM of 507, 350, 428, 687, 556?

Answer: LCM of 507, 350, 428, 687, 556 is 1208759943300.

2. How to calculate the LCM of 507, 350, 428, 687, 556?

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, 350, 428, 687, 556.

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}.