Given numbers are 462,306,520,149,572

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

The LCM of 462,306,520,149,572 is 912791880.

Find LCM of 462,306,520,149,572 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 7 x 51 x 10 x 149 x 1 = 912791880

Therefore, the lowest common multiple of 462,306,520,149,572 is 912791880.

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.

462 x 306 x 520 x 149 x 572 = 6265403464320

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

149 : 1, 149

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,306,520,149,572, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

306:2x 3x 3x 17

520:2x 2x 2x 5x 13

149:149

572:2x 2x 11x 13

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 11x 13 = 6864

Therefore, the value for common factors is 6864.

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 = 6265403464320/(1x6864)

LCM = 6265403464320/6864

LCM = 912791880

Thus, we can understand that the LCM of 462,306,520,149,572 is 912791880.

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

• LCM of 555, 862, 812, 171, 385
• LCM of 219, 224, 635, 468, 274
• LCM of 690, 493, 496, 976, 413
• LCM of 728, 868, 805, 405, 340
• LCM of 753, 964, 949, 357, 774

1. What is the LCM of 462, 306, 520, 149, 572?

Answer: LCM of 462, 306, 520, 149, 572 is 912791880.

2. How to calculate the LCM of 462, 306, 520, 149, 572?

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 462, 306, 520, 149, 572.

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}.