Given numbers are 582,480,346,916,782

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

The LCM of 582,480,346,916,782 is 721225900320.

Find LCM of 582,480,346,916,782 with Prime Factorization

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

2 x 2 x 3 x 97 x 40 x 173 x 229 x 391 = 721225900320

Therefore, the lowest common multiple of 582,480,346,916,782 is 721225900320.

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 480 x 346 x 916 x 782 = 69237686430720

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

346 : 1, 2, 173, 346

916 : 1, 2, 4, 229, 458, 916

782 : 1, 2, 17, 23, 34, 46, 391, 782

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,480,346,916,782, is 2.

Now, the common factors can be found like this.

582:2x 3x 97

480:2x 2x 2x 2x 2x 3x 5

346:2x 173

916:2x 2x 229

782:2x 17x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 69237686430720/(2x48)

LCM = 69237686430720/96

LCM = 721225900320

Thus, we can understand that the LCM of 582,480,346,916,782 is 721225900320.

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

• LCM of 379, 724, 177, 922, 787
• LCM of 946, 637, 290, 413, 671
• LCM of 462, 107, 816, 334, 775
• LCM of 945, 256, 671, 674, 491
• LCM of 137, 336, 804, 949, 439

1. What is the LCM of 582, 480, 346, 916, 782?

Answer: LCM of 582, 480, 346, 916, 782 is 721225900320.

2. How to calculate the LCM of 582, 480, 346, 916, 782?

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, 480, 346, 916, 782.

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}.