Given numbers are 460,322,709,106,897

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

The LCM of 460,322,709,106,897 is 4718919660.

Find LCM of 460,322,709,106,897 with Prime Factorization

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

2 x 23 x 10 x 7 x 709 x 53 x 39 = 4718919660

Therefore, the lowest common multiple of 460,322,709,106,897 is 4718919660.

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 322 x 709 x 106 x 897 = 9985234000560

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

709 : 1, 709

106 : 1, 2, 53, 106

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,322,709,106,897, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

322:2x 7x 23

709:709

106:2x 53

897:3x 13x 23

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 9985234000560/(1x2116)

LCM = 9985234000560/2116

LCM = 4718919660

Thus, we can understand that the LCM of 460,322,709,106,897 is 4718919660.

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

• LCM of 786, 806, 696, 831, 543
• LCM of 940, 560, 504, 868, 198
• LCM of 333, 434, 181, 998, 890
• LCM of 900, 361, 657, 558, 642
• LCM of 434, 158, 328, 410, 849

1. What is the LCM of 460, 322, 709, 106, 897?

Answer: LCM of 460, 322, 709, 106, 897 is 4718919660.

2. How to calculate the LCM of 460, 322, 709, 106, 897?

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, 322, 709, 106, 897.

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}.