Given numbers are 546,207,638,968,426

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

The LCM of 546,207,638,968,426 is 37544250744.

Find LCM of 546,207,638,968,426 with Prime Factorization

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

2 x 3 x 11 x 91 x 69 x 29 x 44 x 71 = 37544250744

Therefore, the lowest common multiple of 546,207,638,968,426 is 37544250744.

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.

546 x 207 x 638 x 968 x 426 = 29735046589248

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.

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

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,207,638,968,426, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

207:3x 3x 23

638:2x 11x 29

968:2x 2x 2x 11x 11

426:2x 3x 71

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 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 29735046589248/(1x792)

LCM = 29735046589248/792

LCM = 37544250744

Thus, we can understand that the LCM of 546,207,638,968,426 is 37544250744.

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

• LCM of 614, 854, 924, 815, 451
• LCM of 347, 622, 755, 553, 284
• LCM of 247, 566, 464, 975, 649
• LCM of 859, 287, 393, 980, 486
• LCM of 918, 715, 766, 921, 271

1. What is the LCM of 546, 207, 638, 968, 426?

Answer: LCM of 546, 207, 638, 968, 426 is 37544250744.

2. How to calculate the LCM of 546, 207, 638, 968, 426?

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 546, 207, 638, 968, 426.

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}.