Given numbers are 462,574,306,128,730

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

The LCM of 462,574,306,128,730 is 22566741120.

Find LCM of 462,574,306,128,730 with Prime Factorization

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

2 x 3 x 7 x 11 x 41 x 51 x 64 x 365 = 22566741120

Therefore, the lowest common multiple of 462,574,306,128,730 is 22566741120.

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 574 x 306 x 128 x 730 = 7582425016320

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

730 : 1, 2, 5, 10, 73, 146, 365, 730

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,574,306,128,730, is 2.

Now, the common factors can be found like this.

462:2x 3x 7x 11

574:2x 7x 41

306:2x 3x 3x 17

128:2x 2x 2x 2x 2x 2x 2

730:2x 5x 73

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 7582425016320/(2x168)

LCM = 7582425016320/336

LCM = 22566741120

Thus, we can understand that the LCM of 462,574,306,128,730 is 22566741120.

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

• LCM of 633, 436, 844, 696, 922
• LCM of 554, 920, 770, 566, 181
• LCM of 486, 195, 774, 673, 168
• LCM of 975, 711, 205, 165, 850
• LCM of 221, 712, 618, 747, 652

1. What is the LCM of 462, 574, 306, 128, 730?

Answer: LCM of 462, 574, 306, 128, 730 is 22566741120.

2. How to calculate the LCM of 462, 574, 306, 128, 730?

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, 574, 306, 128, 730.

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}.