Given numbers are 667,720,228,444,348

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

The LCM of 667,720,228,444,348 is 337608720.

Find LCM of 667,720,228,444,348 with Prime Factorization

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

2 x 2 x 3 x 29 x 23 x 60 x 19 x 37 x 1 = 337608720

Therefore, the lowest common multiple of 667,720,228,444,348 is 337608720.

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.

667 x 720 x 228 x 444 x 348 = 16918248176640

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.

667 : 1, 23, 29, 667

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,720,228,444,348, is 1.

Now, the common factors can be found like this.

667:23x 29

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

228:2x 2x 3x 19

444:2x 2x 3x 37

348:2x 2x 3x 29

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 3x 3x 3x 29 = 50112

Therefore, the value for common factors is 50112.

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 = 16918248176640/(1x50112)

LCM = 16918248176640/50112

LCM = 337608720

Thus, we can understand that the LCM of 667,720,228,444,348 is 337608720.

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

• LCM of 190, 903, 664, 146, 978
• LCM of 687, 101, 110, 120, 299
• LCM of 505, 122, 392, 141, 209
• LCM of 871, 584, 684, 951, 337
• LCM of 934, 287, 328, 880, 836

1. What is the LCM of 667, 720, 228, 444, 348?

Answer: LCM of 667, 720, 228, 444, 348 is 337608720.

2. How to calculate the LCM of 667, 720, 228, 444, 348?

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 667, 720, 228, 444, 348.

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}.