Given numbers are 898,431,314

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

The LCM of 898,431,314 is 60764966.

Find LCM of 898,431,314 with Prime Factorization

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

2 x 449 x 431 x 157 = 60764966

Therefore, the lowest common multiple of 898,431,314 is 60764966.

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.

898 x 431 x 314 = 121529932

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.

898 : 1, 2, 449, 898

431 : 1, 431

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,431,314, is 1.

Now, the common factors can be found like this.

898:2x 449

431:431

314:2x 157

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 = 121529932/(1x2)

LCM = 121529932/2

LCM = 60764966

Thus, we can understand that the LCM of 898,431,314 is 60764966.

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

• LCM of 881, 289, 142
• LCM of 877, 851, 772
• LCM of 967, 381, 333
• LCM of 649, 466, 105
• LCM of 310, 112, 461

1. What is the LCM of 898, 431, 314?

Answer: LCM of 898, 431, 314 is 60764966.

2. How to calculate the LCM of 898, 431, 314?

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 898, 431, 314.

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}.