Given numbers are 253,992,104,782,336

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

The LCM of 253,992,104,782,336 is 1164779616.

Find LCM of 253,992,104,782,336 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 11 x 62 x 13 x 17 x 21 = 1164779616

Therefore, the lowest common multiple of 253,992,104,782,336 is 1164779616.

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.

253 x 992 x 104 x 782 x 336 = 6858222379008

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.

253 : 1, 11, 23, 253

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,992,104,782,336, is 1.

Now, the common factors can be found like this.

253:11x 23

992:2x 2x 2x 2x 2x 31

104:2x 2x 2x 13

782:2x 17x 23

336:2x 2x 2x 2x 3x 7

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 2x 23 = 5888

Therefore, the value for common factors is 5888.

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 = 6858222379008/(1x5888)

LCM = 6858222379008/5888

LCM = 1164779616

Thus, we can understand that the LCM of 253,992,104,782,336 is 1164779616.

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

• LCM of 323, 602, 314, 103, 776
• LCM of 584, 856, 547, 543, 958
• LCM of 156, 783, 426, 686, 161
• LCM of 448, 525, 492, 150, 438
• LCM of 238, 469, 966, 323, 155

1. What is the LCM of 253, 992, 104, 782, 336?

Answer: LCM of 253, 992, 104, 782, 336 is 1164779616.

2. How to calculate the LCM of 253, 992, 104, 782, 336?

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 253, 992, 104, 782, 336.

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}.