Given numbers are 312,528,648,253,782

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

The LCM of 312,528,648,253,782 is 72463248.

Find LCM of 312,528,648,253,782 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 23 x 13 x 2 x 27 x 1 x 17 = 72463248

Therefore, the lowest common multiple of 312,528,648,253,782 is 72463248.

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.

312 x 528 x 648 x 253 x 782 = 21119848409088

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

253 : 1, 11, 23, 253

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,528,648,253,782, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

528:2x 2x 2x 2x 3x 11

648:2x 2x 2x 3x 3x 3x 3

253:11x 23

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 2x 2x 2x 3x 3x 11x 23 = 291456

Therefore, the value for common factors is 291456.

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 = 21119848409088/(1x291456)

LCM = 21119848409088/291456

LCM = 72463248

Thus, we can understand that the LCM of 312,528,648,253,782 is 72463248.

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

• LCM of 103, 191, 494, 700, 235
• LCM of 892, 174, 222, 839, 359
• LCM of 439, 425, 871, 209, 520
• LCM of 989, 346, 499, 735, 414
• LCM of 977, 704, 961, 288, 751

1. What is the LCM of 312, 528, 648, 253, 782?

Answer: LCM of 312, 528, 648, 253, 782 is 72463248.

2. How to calculate the LCM of 312, 528, 648, 253, 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 312, 528, 648, 253, 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}.