Given numbers are 377,208,394,305

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

The LCM of 377,208,394,305 is 362432720.

Find LCM of 377,208,394,305 with Prime Factorization

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

2 x 13 x 29 x 8 x 197 x 305 = 362432720

Therefore, the lowest common multiple of 377,208,394,305 is 362432720.

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.

377 x 208 x 394 x 305 = 9423250720

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.

377 : 1, 13, 29, 377

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

394 : 1, 2, 197, 394

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,208,394,305, is 1.

Now, the common factors can be found like this.

377:13x 29

208:2x 2x 2x 2x 13

394:2x 197

305:5x 61

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 9423250720/(1x26)

LCM = 9423250720/26

LCM = 362432720

Thus, we can understand that the LCM of 377,208,394,305 is 362432720.

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

• LCM of 730, 893, 269, 716
• LCM of 175, 907, 767, 410
• LCM of 311, 826, 976, 974
• LCM of 541, 760, 555, 758
• LCM of 495, 458, 284, 681

1. What is the LCM of 377, 208, 394, 305?

Answer: LCM of 377, 208, 394, 305 is 362432720.

2. How to calculate the LCM of 377, 208, 394, 305?

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 377, 208, 394, 305.

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}.