Given numbers are 968,828,258,352

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

The LCM of 968,828,258,352 is 34464672.

Find LCM of 968,828,258,352 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 11 x 69 x 43 x 4 = 34464672

Therefore, the lowest common multiple of 968,828,258,352 is 34464672.

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.

968 x 828 x 258 x 352 = 72789387264

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.

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,828,258,352, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

828:2x 2x 3x 3x 23

258:2x 3x 43

352:2x 2x 2x 2x 2x 11

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 2x 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 72789387264/(2x1056)

LCM = 72789387264/2112

LCM = 34464672

Thus, we can understand that the LCM of 968,828,258,352 is 34464672.

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

• LCM of 306, 231, 795, 998
• LCM of 491, 153, 103, 292
• LCM of 160, 214, 171, 509
• LCM of 432, 660, 760, 197
• LCM of 866, 595, 282, 505

1. What is the LCM of 968, 828, 258, 352?

Answer: LCM of 968, 828, 258, 352 is 34464672.

2. How to calculate the LCM of 968, 828, 258, 352?

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 968, 828, 258, 352.

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}.