Given numbers are 207,642,256,590,546

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

The LCM of 207,642,256,590,546 is 152215015680.

Find LCM of 207,642,256,590,546 with Prime Factorization

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

2 x 3 x 69 x 107 x 128 x 295 x 91 = 152215015680

Therefore, the lowest common multiple of 207,642,256,590,546 is 152215015680.

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.

207 x 642 x 256 x 590 x 546 = 10959481128960

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.

207 : 1, 3, 9, 23, 69, 207

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,642,256,590,546, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

642:2x 3x 107

256:2x 2x 2x 2x 2x 2x 2x 2

590:2x 5x 59

546:2x 3x 7x 13

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 10959481128960/(1x72)

LCM = 10959481128960/72

LCM = 152215015680

Thus, we can understand that the LCM of 207,642,256,590,546 is 152215015680.

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

• LCM of 232, 571, 338, 305, 154
• LCM of 355, 825, 870, 877, 435
• LCM of 409, 485, 920, 356, 716
• LCM of 119, 647, 675, 965, 875
• LCM of 866, 947, 224, 547, 271

1. What is the LCM of 207, 642, 256, 590, 546?

Answer: LCM of 207, 642, 256, 590, 546 is 152215015680.

2. How to calculate the LCM of 207, 642, 256, 590, 546?

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 207, 642, 256, 590, 546.

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}.