Given numbers are 361,392,304,107,224

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

The LCM of 361,392,304,107,224 is 60567136.

Find LCM of 361,392,304,107,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 19 x 1 x 7 x 19 x 107 x 2 = 60567136

Therefore, the lowest common multiple of 361,392,304,107,224 is 60567136.

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.

361 x 392 x 304 x 107 x 224 = 1031094923264

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.

361 : 1, 19, 361

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

107 : 1, 107

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,392,304,107,224, is 1.

Now, the common factors can be found like this.

361:19x 19

392:2x 2x 2x 7x 7

304:2x 2x 2x 2x 19

107:107

224:2x 2x 2x 2x 2x 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 7x 19 = 17024

Therefore, the value for common factors is 17024.

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 = 1031094923264/(1x17024)

LCM = 1031094923264/17024

LCM = 60567136

Thus, we can understand that the LCM of 361,392,304,107,224 is 60567136.

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

• LCM of 341, 105, 923, 139, 738
• LCM of 421, 792, 687, 313, 661
• LCM of 457, 908, 632, 596, 367
• LCM of 812, 129, 859, 376, 806
• LCM of 620, 780, 791, 958, 659

1. What is the LCM of 361, 392, 304, 107, 224?

Answer: LCM of 361, 392, 304, 107, 224 is 60567136.

2. How to calculate the LCM of 361, 392, 304, 107, 224?

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 361, 392, 304, 107, 224.

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}.