Given numbers are 190,560,680,790,858

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

The LCM of 190,560,680,790,858 is 6130204080.

Find LCM of 190,560,680,790,858 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 14 x 17 x 79 x 429 = 6130204080

Therefore, the lowest common multiple of 190,560,680,790,858 is 6130204080.

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.

190 x 560 x 680 x 790 x 858 = 49041632640000

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,560,680,790,858, is 2.

Now, the common factors can be found like this.

190:2x 5x 19

560:2x 2x 2x 2x 5x 7

680:2x 2x 2x 5x 17

790:2x 5x 79

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 2x 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 49041632640000/(2x4000)

LCM = 49041632640000/8000

LCM = 6130204080

Thus, we can understand that the LCM of 190,560,680,790,858 is 6130204080.

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

• LCM of 514, 375, 478, 415, 265
• LCM of 724, 108, 910, 136, 251
• LCM of 956, 540, 910, 443, 766
• LCM of 525, 131, 852, 685, 692
• LCM of 562, 981, 108, 218, 953

1. What is the LCM of 190, 560, 680, 790, 858?

Answer: LCM of 190, 560, 680, 790, 858 is 6130204080.

2. How to calculate the LCM of 190, 560, 680, 790, 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 190, 560, 680, 790, 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}.