Given numbers are 416,107,680,463,858

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

The LCM of 416,107,680,463,858 is 57808402080.

Find LCM of 416,107,680,463,858 with Prime Factorization

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

2 x 2 x 2 x 13 x 4 x 107 x 85 x 463 x 33 = 57808402080

Therefore, the lowest common multiple of 416,107,680,463,858 is 57808402080.

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.

416 x 107 x 680 x 463 x 858 = 12024147632640

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

107 : 1, 107

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

463 : 1, 463

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,107,680,463,858, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

107:107

680:2x 2x 2x 5x 17

463:463

858:2x 3x 11x 13

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 12024147632640/(1x208)

LCM = 12024147632640/208

LCM = 57808402080

Thus, we can understand that the LCM of 416,107,680,463,858 is 57808402080.

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

• LCM of 220, 186, 282, 444, 913
• LCM of 666, 868, 601, 597, 553
• LCM of 763, 645, 736, 648, 885
• LCM of 470, 941, 461, 285, 690
• LCM of 528, 959, 984, 448, 455

1. What is the LCM of 416, 107, 680, 463, 858?

Answer: LCM of 416, 107, 680, 463, 858 is 57808402080.

2. How to calculate the LCM of 416, 107, 680, 463, 858?

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 416, 107, 680, 463, 858.

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}.