Given numbers are 460,946,102,862

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

The LCM of 460,946,102,862 is 4782625980.

Find LCM of 460,946,102,862 with Prime Factorization

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

2 x 230 x 473 x 51 x 431 = 4782625980

Therefore, the lowest common multiple of 460,946,102,862 is 4782625980.

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.

460 x 946 x 102 x 862 = 38261007840

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.

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

102 : 1, 2, 3, 6, 17, 34, 51, 102

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,946,102,862, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

946:2x 11x 43

102:2x 3x 17

862:2x 431

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 38261007840/(2x4)

LCM = 38261007840/8

LCM = 4782625980

Thus, we can understand that the LCM of 460,946,102,862 is 4782625980.

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

• LCM of 820, 807, 278, 862
• LCM of 623, 840, 593, 232
• LCM of 879, 368, 703, 261
• LCM of 152, 867, 166, 930
• LCM of 110, 638, 283, 871

1. What is the LCM of 460, 946, 102, 862?

Answer: LCM of 460, 946, 102, 862 is 4782625980.

2. How to calculate the LCM of 460, 946, 102, 862?

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 460, 946, 102, 862.

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}.