Given numbers are 546,291,258,468,851

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

The LCM of 546,291,258,468,851 is 11628230796.

Find LCM of 546,291,258,468,851 with Prime Factorization

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

2 x 3 x 13 x 7 x 97 x 43 x 6 x 851 = 11628230796

Therefore, the lowest common multiple of 546,291,258,468,851 is 11628230796.

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 291 x 258 x 468 x 851 = 16326036037584

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

291 : 1, 3, 97, 291

258 : 1, 2, 3, 6, 43, 86, 129, 258

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,291,258,468,851, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

291:3x 97

258:2x 3x 43

468:2x 2x 3x 3x 13

851:23x 37

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 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 16326036037584/(1x1404)

LCM = 16326036037584/1404

LCM = 11628230796

Thus, we can understand that the LCM of 546,291,258,468,851 is 11628230796.

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

• LCM of 856, 543, 987, 846, 145
• LCM of 284, 290, 609, 440, 867
• LCM of 104, 486, 725, 859, 223
• LCM of 979, 848, 962, 641, 222
• LCM of 238, 231, 899, 968, 783

1. What is the LCM of 546, 291, 258, 468, 851?

Answer: LCM of 546, 291, 258, 468, 851 is 11628230796.

2. How to calculate the LCM of 546, 291, 258, 468, 851?

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, 291, 258, 468, 851.

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}.