Given numbers are 224,119,413,720,365

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

The LCM of 224,119,413,720,365 is 738047520.

Find LCM of 224,119,413,720,365 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 2 x 17 x 59 x 9 x 73 = 738047520

Therefore, the lowest common multiple of 224,119,413,720,365 is 738047520.

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.

224 x 119 x 413 x 720 x 365 = 2893146278400

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.

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

119 : 1, 7, 17, 119

413 : 1, 7, 59, 413

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,119,413,720,365, is 1.

Now, the common factors can be found like this.

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

119:7x 17

413:7x 59

720:2x 2x 2x 2x 3x 3x 5

365:5x 73

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 5x 7x 7 = 3920

Therefore, the value for common factors is 3920.

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 = 2893146278400/(1x3920)

LCM = 2893146278400/3920

LCM = 738047520

Thus, we can understand that the LCM of 224,119,413,720,365 is 738047520.

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

• LCM of 325, 267, 491, 297, 123
• LCM of 372, 614, 491, 643, 762
• LCM of 567, 565, 305, 978, 568
• LCM of 321, 701, 395, 461, 628
• LCM of 387, 329, 968, 625, 539

1. What is the LCM of 224, 119, 413, 720, 365?

Answer: LCM of 224, 119, 413, 720, 365 is 738047520.

2. How to calculate the LCM of 224, 119, 413, 720, 365?

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 224, 119, 413, 720, 365.

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}.