Given numbers are 582,970,670,312,920

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

The LCM of 582,970,670,312,920 is 233184120.

Find LCM of 582,970,670,312,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 97 x 1 x 1 x 67 x 13 x 23 = 233184120

Therefore, the lowest common multiple of 582,970,670,312,920 is 233184120.

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 970 x 670 x 312 x 920 = 108570526272000

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

670 : 1, 2, 5, 10, 67, 134, 335, 670

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,970,670,312,920, is 2.

Now, the common factors can be found like this.

582:2x 3x 97

970:2x 5x 97

670:2x 5x 67

312:2x 2x 2x 3x 13

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 2x 3x 5x 5x 97 = 232800

Therefore, the value for common factors is 232800.

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 = 108570526272000/(2x232800)

LCM = 108570526272000/465600

LCM = 233184120

Thus, we can understand that the LCM of 582,970,670,312,920 is 233184120.

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

• LCM of 873, 809, 281, 922, 597
• LCM of 801, 122, 701, 264, 277
• LCM of 206, 760, 852, 543, 245
• LCM of 942, 472, 355, 139, 310
• LCM of 278, 830, 919, 297, 403

1. What is the LCM of 582, 970, 670, 312, 920?

Answer: LCM of 582, 970, 670, 312, 920 is 233184120.

2. How to calculate the LCM of 582, 970, 670, 312, 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, 970, 670, 312, 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}.