Given numbers are 428,541,631,305,642

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

The LCM of 428,541,631,305,642 is 133687711020.

Find LCM of 428,541,631,305,642 with Prime Factorization

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

2 x 107 x 2 x 541 x 631 x 305 x 3 = 133687711020

Therefore, the lowest common multiple of 428,541,631,305,642 is 133687711020.

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.

428 x 541 x 631 x 305 x 642 = 28609170158280

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.

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

541 : 1, 541

631 : 1, 631

305 : 1, 5, 61, 305

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,541,631,305,642, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

541:541

631:631

305:5x 61

642:2x 3x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 28609170158280/(1x214)

LCM = 28609170158280/214

LCM = 133687711020

Thus, we can understand that the LCM of 428,541,631,305,642 is 133687711020.

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

• LCM of 893, 505, 175, 593, 355
• LCM of 535, 182, 487, 702, 169
• LCM of 841, 121, 638, 449, 414
• LCM of 161, 517, 667, 940, 861
• LCM of 485, 875, 771, 227, 869

1. What is the LCM of 428, 541, 631, 305, 642?

Answer: LCM of 428, 541, 631, 305, 642 is 133687711020.

2. How to calculate the LCM of 428, 541, 631, 305, 642?

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 428, 541, 631, 305, 642.

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}.