Given numbers are 568,392,107,209,466

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

The LCM of 568,392,107,209,466 is 145020834728.

Find LCM of 568,392,107,209,466 with Prime Factorization

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

2 x 2 x 2 x 71 x 49 x 107 x 209 x 233 = 145020834728

Therefore, the lowest common multiple of 568,392,107,209,466 is 145020834728.

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.

568 x 392 x 107 x 209 x 466 = 2320333355648

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

107 : 1, 107

209 : 1, 11, 19, 209

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,392,107,209,466, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

392:2x 2x 2x 7x 7

107:107

209:11x 19

466:2x 233

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 = 2320333355648/(1x16)

LCM = 2320333355648/16

LCM = 145020834728

Thus, we can understand that the LCM of 568,392,107,209,466 is 145020834728.

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

• LCM of 307, 384, 639, 883, 244
• LCM of 168, 972, 685, 602, 952
• LCM of 885, 280, 295, 155, 152
• LCM of 970, 838, 469, 498, 691
• LCM of 377, 318, 366, 835, 268

1. What is the LCM of 568, 392, 107, 209, 466?

Answer: LCM of 568, 392, 107, 209, 466 is 145020834728.

2. How to calculate the LCM of 568, 392, 107, 209, 466?

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 568, 392, 107, 209, 466.

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}.