Given numbers are 946,898,507,314

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

The LCM of 946,898,507,314 is 33809993646.

Find LCM of 946,898,507,314 with Prime Factorization

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

2 x 473 x 449 x 507 x 157 = 33809993646

Therefore, the lowest common multiple of 946,898,507,314 is 33809993646.

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.

946 x 898 x 507 x 314 = 135239974584

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

898 : 1, 2, 449, 898

507 : 1, 3, 13, 39, 169, 507

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,898,507,314, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

898:2x 449

507:3x 13x 13

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 135239974584/(1x4)

LCM = 135239974584/4

LCM = 33809993646

Thus, we can understand that the LCM of 946,898,507,314 is 33809993646.

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

• LCM of 728, 134, 345, 911
• LCM of 839, 999, 850, 572
• LCM of 976, 134, 266, 647
• LCM of 174, 700, 725, 196
• LCM of 989, 872, 404, 176

1. What is the LCM of 946, 898, 507, 314?

Answer: LCM of 946, 898, 507, 314 is 33809993646.

2. How to calculate the LCM of 946, 898, 507, 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 946, 898, 507, 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}.