Given numbers are 946,306,398

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

The LCM of 946,306,398 is 28802862.

Find LCM of 946,306,398 with Prime Factorization

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

2 x 473 x 153 x 199 = 28802862

Therefore, the lowest common multiple of 946,306,398 is 28802862.

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 306 x 398 = 115211448

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,306,398, is 2.

Now, the common factors can be found like this.

946:2x 11x 43

306:2x 3x 3x 17

398:2x 199

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 = 115211448/(2x2)

LCM = 115211448/4

LCM = 28802862

Thus, we can understand that the LCM of 946,306,398 is 28802862.

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

• LCM of 120, 727, 206
• LCM of 540, 337, 932
• LCM of 209, 153, 716
• LCM of 504, 405, 252
• LCM of 382, 568, 371

1. What is the LCM of 946, 306, 398?

Answer: LCM of 946, 306, 398 is 28802862.

2. How to calculate the LCM of 946, 306, 398?

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, 306, 398.

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}.