Given numbers are 214,330,244,544,740

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

The LCM of 214,330,244,544,740 is 21676950240.

Find LCM of 214,330,244,544,740 with Prime Factorization

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

2 x 2 x 5 x 107 x 33 x 61 x 136 x 37 = 21676950240

Therefore, the lowest common multiple of 214,330,244,544,740 is 21676950240.

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.

214 x 330 x 244 x 544 x 740 = 6936624076800

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.

214 : 1, 2, 107, 214

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

244 : 1, 2, 4, 61, 122, 244

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,330,244,544,740, is 2.

Now, the common factors can be found like this.

214:2x 107

330:2x 3x 5x 11

244:2x 2x 61

544:2x 2x 2x 2x 2x 17

740:2x 2x 5x 37

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 5 = 160

Therefore, the value for common factors is 160.

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 = 6936624076800/(2x160)

LCM = 6936624076800/320

LCM = 21676950240

Thus, we can understand that the LCM of 214,330,244,544,740 is 21676950240.

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

• LCM of 158, 545, 555, 730, 736
• LCM of 979, 324, 261, 867, 533
• LCM of 835, 641, 968, 300, 114
• LCM of 996, 741, 975, 764, 503
• LCM of 628, 553, 865, 899, 938

1. What is the LCM of 214, 330, 244, 544, 740?

Answer: LCM of 214, 330, 244, 544, 740 is 21676950240.

2. How to calculate the LCM of 214, 330, 244, 544, 740?

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 214, 330, 244, 544, 740.

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}.