Given numbers are 588,409,608,226,970

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

The LCM of 588,409,608,226,970 is 2003384937120.

Find LCM of 588,409,608,226,970 with Prime Factorization

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

2 x 2 x 147 x 409 x 152 x 113 x 485 = 2003384937120

Therefore, the lowest common multiple of 588,409,608,226,970 is 2003384937120.

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.

588 x 409 x 608 x 226 x 970 = 32054158993920

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

409 : 1, 409

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

226 : 1, 2, 113, 226

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,409,608,226,970, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

409:409

608:2x 2x 2x 2x 2x 19

226:2x 113

970:2x 5x 97

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 = 32054158993920/(1x16)

LCM = 32054158993920/16

LCM = 2003384937120

Thus, we can understand that the LCM of 588,409,608,226,970 is 2003384937120.

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

• LCM of 541, 612, 154, 217, 128
• LCM of 633, 510, 736, 442, 548
• LCM of 541, 397, 552, 989, 961
• LCM of 340, 369, 531, 565, 646
• LCM of 196, 276, 185, 711, 476

1. What is the LCM of 588, 409, 608, 226, 970?

Answer: LCM of 588, 409, 608, 226, 970 is 2003384937120.

2. How to calculate the LCM of 588, 409, 608, 226, 970?

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 588, 409, 608, 226, 970.

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}.