Given numbers are 308,493,438

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

The LCM of 308,493,438 is 33253836.

Find LCM of 308,493,438 with Prime Factorization

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

2 x 154 x 493 x 219 = 33253836

Therefore, the lowest common multiple of 308,493,438 is 33253836.

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.

308 x 493 x 438 = 66507672

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

493 : 1, 17, 29, 493

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,493,438, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

493:17x 29

438:2x 3x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 66507672/(1x2)

LCM = 66507672/2

LCM = 33253836

Thus, we can understand that the LCM of 308,493,438 is 33253836.

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

• LCM of 797, 870, 433
• LCM of 293, 288, 781
• LCM of 320, 398, 505
• LCM of 890, 682, 142
• LCM of 944, 912, 387

1. What is the LCM of 308, 493, 438?

Answer: LCM of 308, 493, 438 is 33253836.

2. How to calculate the LCM of 308, 493, 438?

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 308, 493, 438.

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}.