Given numbers are 642,706,694,493,506

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

The LCM of 642,706,694,493,506 is 9808591520838.

Find LCM of 642,706,694,493,506 with Prime Factorization

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

2 x 321 x 353 x 347 x 493 x 253 = 9808591520838

Therefore, the lowest common multiple of 642,706,694,493,506 is 9808591520838.

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.

642 x 706 x 694 x 493 x 506 = 78468732166704

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

706 : 1, 2, 353, 706

694 : 1, 2, 347, 694

493 : 1, 17, 29, 493

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,706,694,493,506, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

706:2x 353

694:2x 347

493:17x 29

506:2x 11x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 78468732166704/(1x8)

LCM = 78468732166704/8

LCM = 9808591520838

Thus, we can understand that the LCM of 642,706,694,493,506 is 9808591520838.

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

• LCM of 535, 781, 640, 815, 431
• LCM of 643, 439, 127, 123, 320
• LCM of 956, 261, 659, 107, 947
• LCM of 350, 226, 258, 500, 261
• LCM of 414, 651, 115, 407, 186

1. What is the LCM of 642, 706, 694, 493, 506?

Answer: LCM of 642, 706, 694, 493, 506 is 9808591520838.

2. How to calculate the LCM of 642, 706, 694, 493, 506?

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 642, 706, 694, 493, 506.

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}.