Given numbers are 965,460,816,828

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

The LCM of 965,460,816,828 is 54333360.

Find LCM of 965,460,816,828 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 193 x 1 x 68 x 3 = 54333360

Therefore, the lowest common multiple of 965,460,816,828 is 54333360.

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.

965 x 460 x 816 x 828 = 299920147200

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.

965 : 1, 5, 193, 965

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,460,816,828, is 1.

Now, the common factors can be found like this.

965:5x 193

460:2x 2x 5x 23

816:2x 2x 2x 2x 3x 17

828:2x 2x 3x 3x 23

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 3x 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 299920147200/(1x5520)

LCM = 299920147200/5520

LCM = 54333360

Thus, we can understand that the LCM of 965,460,816,828 is 54333360.

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

• LCM of 171, 472, 691, 621
• LCM of 978, 889, 266, 651
• LCM of 654, 220, 800, 147
• LCM of 826, 597, 452, 599
• LCM of 370, 216, 436, 340

1. What is the LCM of 965, 460, 816, 828?

Answer: LCM of 965, 460, 816, 828 is 54333360.

2. How to calculate the LCM of 965, 460, 816, 828?

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 965, 460, 816, 828.

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}.