Given numbers are 920,752,782,368

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

The LCM of 920,752,782,368 is 1470160.

Find LCM of 920,752,782,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 5 x 47 x 17 x 1 = 1470160

Therefore, the lowest common multiple of 920,752,782,368 is 1470160.

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.

920 x 752 x 782 x 368 = 199094947840

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.

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,752,782,368, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

752:2x 2x 2x 2x 47

782:2x 17x 23

368:2x 2x 2x 2x 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 23x 23 = 67712

Therefore, the value for common factors is 67712.

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 = 199094947840/(2x67712)

LCM = 199094947840/135424

LCM = 1470160

Thus, we can understand that the LCM of 920,752,782,368 is 1470160.

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

• LCM of 862, 775, 478, 273
• LCM of 473, 771, 226, 292
• LCM of 926, 473, 995, 581
• LCM of 605, 645, 585, 381
• LCM of 824, 219, 101, 319

1. What is the LCM of 920, 752, 782, 368?

Answer: LCM of 920, 752, 782, 368 is 1470160.

2. How to calculate the LCM of 920, 752, 782, 368?

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 920, 752, 782, 368.

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}.