Given numbers are 282,203,224,731

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

The LCM of 282,203,224,731 is 669549216.

Find LCM of 282,203,224,731 with Prime Factorization

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

2 x 7 x 141 x 29 x 16 x 731 = 669549216

Therefore, the lowest common multiple of 282,203,224,731 is 669549216.

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.

282 x 203 x 224 x 731 = 9373689024

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

203 : 1, 7, 29, 203

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

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,203,224,731, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

203:7x 29

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

731:17x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 9373689024/(1x14)

LCM = 9373689024/14

LCM = 669549216

Thus, we can understand that the LCM of 282,203,224,731 is 669549216.

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

• LCM of 117, 502, 508, 529
• LCM of 878, 184, 309, 308
• LCM of 912, 678, 504, 392
• LCM of 125, 709, 208, 448
• LCM of 823, 934, 952, 170

1. What is the LCM of 282, 203, 224, 731?

Answer: LCM of 282, 203, 224, 731 is 669549216.

2. How to calculate the LCM of 282, 203, 224, 731?

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 282, 203, 224, 731.

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}.