Given numbers are 235,224,782,324,446

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

The LCM of 235,224,782,324,446 is 371777001120.

Find LCM of 235,224,782,324,446 with Prime Factorization

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

2 x 2 x 235 x 56 x 391 x 81 x 223 = 371777001120

Therefore, the lowest common multiple of 235,224,782,324,446 is 371777001120.

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.

235 x 224 x 782 x 324 x 446 = 5948432017920

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.

235 : 1, 5, 47, 235

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,224,782,324,446, is 1.

Now, the common factors can be found like this.

235:5x 47

224:2x 2x 2x 2x 2x 7

782:2x 17x 23

324:2x 2x 3x 3x 3x 3

446:2x 223

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5948432017920/(1x16)

LCM = 5948432017920/16

LCM = 371777001120

Thus, we can understand that the LCM of 235,224,782,324,446 is 371777001120.

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

• LCM of 690, 831, 262, 887, 972
• LCM of 967, 696, 550, 128, 428
• LCM of 289, 404, 252, 148, 270
• LCM of 822, 380, 759, 189, 570
• LCM of 222, 382, 860, 942, 265

1. What is the LCM of 235, 224, 782, 324, 446?

Answer: LCM of 235, 224, 782, 324, 446 is 371777001120.

2. How to calculate the LCM of 235, 224, 782, 324, 446?

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 235, 224, 782, 324, 446.

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}.