Given numbers are 975,198,357,165,933

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

The LCM of 975,198,357,165,933 is 2381529150.

Find LCM of 975,198,357,165,933 with Prime Factorization

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

3 x 5 x 11 x 65 x 6 x 119 x 1 x 311 = 2381529150

Therefore, the lowest common multiple of 975,198,357,165,933 is 2381529150.

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.

975 x 198 x 357 x 165 x 933 = 10609712363250

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.

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

357 : 1, 3, 7, 17, 21, 51, 119, 357

165 : 1, 3, 5, 11, 15, 33, 55, 165

933 : 1, 3, 311, 933

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,198,357,165,933, is 3.

Now, the common factors can be found like this.

975:3x 5x 5x 13

198:2x 3x 3x 11

357:3x 7x 17

165:3x 5x 11

933:3x 311

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

3x 3x 3x 5x 11 = 1485

Therefore, the value for common factors is 1485.

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 = 10609712363250/(3x1485)

LCM = 10609712363250/4455

LCM = 2381529150

Thus, we can understand that the LCM of 975,198,357,165,933 is 2381529150.

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

• LCM of 238, 691, 506, 727, 262
• LCM of 569, 942, 214, 816, 574
• LCM of 354, 501, 749, 264, 101
• LCM of 826, 693, 550, 311, 894
• LCM of 691, 831, 709, 944, 242

1. What is the LCM of 975, 198, 357, 165, 933?

Answer: LCM of 975, 198, 357, 165, 933 is 2381529150.

2. How to calculate the LCM of 975, 198, 357, 165, 933?

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 975, 198, 357, 165, 933.

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}.