Given numbers are 946,210,720,489

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

The LCM of 946,210,720,489 is 388578960.

Find LCM of 946,210,720,489 with Prime Factorization

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

2 x 3 x 5 x 473 x 7 x 24 x 163 = 388578960

Therefore, the lowest common multiple of 946,210,720,489 is 388578960.

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 210 x 720 x 489 = 69944212800

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,210,720,489, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

210:2x 3x 5x 7

720:2x 2x 2x 2x 3x 3x 5

489:3x 163

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 69944212800/(1x180)

LCM = 69944212800/180

LCM = 388578960

Thus, we can understand that the LCM of 946,210,720,489 is 388578960.

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

• LCM of 998, 710, 839, 276
• LCM of 966, 266, 359, 645
• LCM of 147, 766, 784, 773
• LCM of 431, 732, 155, 822
• LCM of 612, 968, 815, 501

1. What is the LCM of 946, 210, 720, 489?

Answer: LCM of 946, 210, 720, 489 is 388578960.

2. How to calculate the LCM of 946, 210, 720, 489?

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, 210, 720, 489.

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}.