Given numbers are 490,365,143,592,858

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

The LCM of 490,365,143,592,858 is 4542217680.

Find LCM of 490,365,143,592,858 with Prime Factorization

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

2 x 5 x 11 x 13 x 49 x 73 x 1 x 296 x 3 = 4542217680

Therefore, the lowest common multiple of 490,365,143,592,858 is 4542217680.

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.

490 x 365 x 143 x 592 x 858 = 12990742564800

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

365 : 1, 5, 73, 365

143 : 1, 11, 13, 143

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 490,365,143,592,858, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

365:5x 73

143:11x 13

592:2x 2x 2x 2x 37

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 5x 11x 13 = 2860

Therefore, the value for common factors is 2860.

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 = 12990742564800/(1x2860)

LCM = 12990742564800/2860

LCM = 4542217680

Thus, we can understand that the LCM of 490,365,143,592,858 is 4542217680.

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

• LCM of 386, 602, 719, 429, 133
• LCM of 788, 686, 736, 258, 817
• LCM of 719, 817, 498, 577, 897
• LCM of 786, 874, 504, 582, 216
• LCM of 552, 155, 980, 489, 895

1. What is the LCM of 490, 365, 143, 592, 858?

Answer: LCM of 490, 365, 143, 592, 858 is 4542217680.

2. How to calculate the LCM of 490, 365, 143, 592, 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 490, 365, 143, 592, 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}.