Given numbers are 642,648,336,135,611

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

The LCM of 642,648,336,135,611 is 2965500720.

Find LCM of 642,648,336,135,611 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 107 x 3 x 14 x 5 x 611 = 2965500720

Therefore, the lowest common multiple of 642,648,336,135,611 is 2965500720.

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 648 x 336 x 135 x 611 = 11529866799360

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

135 : 1, 3, 5, 9, 15, 27, 45, 135

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,648,336,135,611, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

648:2x 2x 2x 3x 3x 3x 3

336:2x 2x 2x 2x 3x 7

135:3x 3x 3x 5

611:13x 47

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 2x 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 11529866799360/(1x3888)

LCM = 11529866799360/3888

LCM = 2965500720

Thus, we can understand that the LCM of 642,648,336,135,611 is 2965500720.

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

• LCM of 828, 404, 125, 992, 789
• LCM of 462, 837, 915, 323, 977
• LCM of 887, 992, 604, 386, 549
• LCM of 727, 615, 846, 587, 311
• LCM of 547, 684, 411, 533, 857

1. What is the LCM of 642, 648, 336, 135, 611?

Answer: LCM of 642, 648, 336, 135, 611 is 2965500720.

2. How to calculate the LCM of 642, 648, 336, 135, 611?

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, 648, 336, 135, 611.

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}.