Given numbers are 948,966,486,975

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

The LCM of 948,966,486,975 is 4017932100.

Find LCM of 948,966,486,975 with Prime Factorization

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

2 x 3 x 158 x 161 x 81 x 325 = 4017932100

Therefore, the lowest common multiple of 948,966,486,975 is 4017932100.

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.

948 x 966 x 486 x 975 = 433936666800

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,966,486,975, is 3.

Now, the common factors can be found like this.

948:2x 2x 3x 79

966:2x 3x 7x 23

486:2x 3x 3x 3x 3x 3

975:3x 5x 5x 13

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 3 = 36

Therefore, the value for common factors is 36.

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 = 433936666800/(3x36)

LCM = 433936666800/108

LCM = 4017932100

Thus, we can understand that the LCM of 948,966,486,975 is 4017932100.

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

• LCM of 853, 834, 808, 930
• LCM of 349, 606, 653, 364
• LCM of 822, 657, 909, 587
• LCM of 921, 645, 652, 594
• LCM of 425, 688, 280, 197

1. What is the LCM of 948, 966, 486, 975?

Answer: LCM of 948, 966, 486, 975 is 4017932100.

2. How to calculate the LCM of 948, 966, 486, 975?

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 948, 966, 486, 975.

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}.