Given numbers are 460,674,862,704,149

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

The LCM of 460,674,862,704,149 is 1752120370880.

Find LCM of 460,674,862,704,149 with Prime Factorization

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

2 x 2 x 115 x 337 x 431 x 176 x 149 = 1752120370880

Therefore, the lowest common multiple of 460,674,862,704,149 is 1752120370880.

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 674 x 862 x 704 x 149 = 28033925934080

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

674 : 1, 2, 337, 674

862 : 1, 2, 431, 862

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,674,862,704,149, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

674:2x 337

862:2x 431

704:2x 2x 2x 2x 2x 2x 11

149:149

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 2 = 16

Therefore, the value for common factors is 16.

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 = 28033925934080/(1x16)

LCM = 28033925934080/16

LCM = 1752120370880

Thus, we can understand that the LCM of 460,674,862,704,149 is 1752120370880.

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

• LCM of 456, 452, 661, 367, 935
• LCM of 685, 397, 779, 685, 107
• LCM of 931, 794, 137, 823, 145
• LCM of 361, 366, 814, 573, 924
• LCM of 589, 434, 226, 937, 470

1. What is the LCM of 460, 674, 862, 704, 149?

Answer: LCM of 460, 674, 862, 704, 149 is 1752120370880.

2. How to calculate the LCM of 460, 674, 862, 704, 149?

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, 674, 862, 704, 149.

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}.