Given numbers are 460,107,570,209

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

The LCM of 460,107,570,209 is 30860940.

Find LCM of 460,107,570,209 with Prime Factorization

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

2 x 5 x 19 x 46 x 107 x 3 x 11 = 30860940

Therefore, the lowest common multiple of 460,107,570,209 is 30860940.

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 107 x 570 x 209 = 5863578600

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

107 : 1, 107

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,107,570,209, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

107:107

570:2x 3x 5x 19

209:11x 19

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

2x 5x 19 = 190

Therefore, the value for common factors is 190.

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 = 5863578600/(1x190)

LCM = 5863578600/190

LCM = 30860940

Thus, we can understand that the LCM of 460,107,570,209 is 30860940.

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

• LCM of 951, 963, 665, 476
• LCM of 709, 187, 157, 287
• LCM of 475, 771, 558, 301
• LCM of 134, 533, 150, 767
• LCM of 362, 785, 591, 955

1. What is the LCM of 460, 107, 570, 209?

Answer: LCM of 460, 107, 570, 209 is 30860940.

2. How to calculate the LCM of 460, 107, 570, 209?

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, 107, 570, 209.

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}.