Given numbers are 224,730,235,257,747

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

The LCM of 224,730,235,257,747 is 737721542880.

Find LCM of 224,730,235,257,747 with Prime Factorization

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

2 x 5 x 112 x 73 x 47 x 257 x 747 = 737721542880

Therefore, the lowest common multiple of 224,730,235,257,747 is 737721542880.

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 730 x 235 x 257 x 747 = 7377215428800

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

235 : 1, 5, 47, 235

257 : 1, 257

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,730,235,257,747, is 1.

Now, the common factors can be found like this.

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

730:2x 5x 73

235:5x 47

257:257

747:3x 3x 83

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 7377215428800/(1x10)

LCM = 7377215428800/10

LCM = 737721542880

Thus, we can understand that the LCM of 224,730,235,257,747 is 737721542880.

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

• LCM of 680, 125, 293, 891, 603
• LCM of 431, 679, 390, 750, 558
• LCM of 502, 577, 344, 844, 997
• LCM of 513, 262, 280, 639, 146
• LCM of 498, 247, 727, 184, 203

1. What is the LCM of 224, 730, 235, 257, 747?

Answer: LCM of 224, 730, 235, 257, 747 is 737721542880.

2. How to calculate the LCM of 224, 730, 235, 257, 747?

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, 730, 235, 257, 747.

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}.