Given numbers are 756,590,867,159,642

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

The LCM of 756,590,867,159,642 is 365511715380.

Find LCM of 756,590,867,159,642 with Prime Factorization

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

2 x 3 x 126 x 295 x 289 x 53 x 107 = 365511715380

Therefore, the lowest common multiple of 756,590,867,159,642 is 365511715380.

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.

756 x 590 x 867 x 159 x 642 = 39475265261040

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

590 : 1, 2, 5, 10, 59, 118, 295, 590

867 : 1, 3, 17, 51, 289, 867

159 : 1, 3, 53, 159

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 756,590,867,159,642, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

590:2x 5x 59

867:3x 17x 17

159:3x 53

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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 39475265261040/(1x108)

LCM = 39475265261040/108

LCM = 365511715380

Thus, we can understand that the LCM of 756,590,867,159,642 is 365511715380.

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

• LCM of 653, 906, 483, 308, 654
• LCM of 591, 781, 116, 441, 211
• LCM of 188, 684, 827, 549, 499
• LCM of 541, 468, 734, 276, 219
• LCM of 196, 980, 386, 184, 343

1. What is the LCM of 756, 590, 867, 159, 642?

Answer: LCM of 756, 590, 867, 159, 642 is 365511715380.

2. How to calculate the LCM of 756, 590, 867, 159, 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 756, 590, 867, 159, 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}.