Given numbers are 582,279,403,160,920

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

The LCM of 582,279,403,160,920 is 1294693920.

Find LCM of 582,279,403,160,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 31 x 97 x 3 x 13 x 4 x 23 = 1294693920

Therefore, the lowest common multiple of 582,279,403,160,920 is 1294693920.

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.

582 x 279 x 403 x 160 x 920 = 9632522764800

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

279 : 1, 3, 9, 31, 93, 279

403 : 1, 13, 31, 403

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,279,403,160,920, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

279:3x 3x 31

403:13x 31

160:2x 2x 2x 2x 2x 5

920:2x 2x 2x 5x 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 2x 2x 3x 5x 31 = 7440

Therefore, the value for common factors is 7440.

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 = 9632522764800/(1x7440)

LCM = 9632522764800/7440

LCM = 1294693920

Thus, we can understand that the LCM of 582,279,403,160,920 is 1294693920.

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

• LCM of 538, 519, 871, 334, 592
• LCM of 883, 526, 606, 365, 845
• LCM of 549, 851, 851, 608, 556
• LCM of 775, 807, 345, 552, 134
• LCM of 552, 577, 302, 544, 489

1. What is the LCM of 582, 279, 403, 160, 920?

Answer: LCM of 582, 279, 403, 160, 920 is 1294693920.

2. How to calculate the LCM of 582, 279, 403, 160, 920?

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 582, 279, 403, 160, 920.

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}.