Given numbers are 910,528,268,812

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

The LCM of 910,528,268,812 is 466786320.

Find LCM of 910,528,268,812 with Prime Factorization

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

2 x 2 x 7 x 65 x 132 x 67 x 29 = 466786320

Therefore, the lowest common multiple of 910,528,268,812 is 466786320.

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.

910 x 528 x 268 x 812 = 104560135680

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

268 : 1, 2, 4, 67, 134, 268

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,528,268,812, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

528:2x 2x 2x 2x 3x 11

268:2x 2x 67

812:2x 2x 7x 29

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 7 = 112

Therefore, the value for common factors is 112.

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 = 104560135680/(2x112)

LCM = 104560135680/224

LCM = 466786320

Thus, we can understand that the LCM of 910,528,268,812 is 466786320.

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

• LCM of 726, 681, 796, 685
• LCM of 754, 825, 164, 289
• LCM of 627, 744, 215, 702
• LCM of 572, 474, 943, 173
• LCM of 167, 971, 581, 452

1. What is the LCM of 910, 528, 268, 812?

Answer: LCM of 910, 528, 268, 812 is 466786320.

2. How to calculate the LCM of 910, 528, 268, 812?

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 910, 528, 268, 812.

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}.