Given numbers are 198,572,714,750

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

The LCM of 198,572,714,750 is 76576500.

Find LCM of 198,572,714,750 with Prime Factorization

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

2 x 3 x 11 x 3 x 26 x 119 x 125 = 76576500

Therefore, the lowest common multiple of 198,572,714,750 is 76576500.

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.

198 x 572 x 714 x 750 = 60648588000

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.

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,572,714,750, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

572:2x 2x 11x 13

714:2x 3x 7x 17

750:2x 3x 5x 5x 5

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 11 = 396

Therefore, the value for common factors is 396.

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 = 60648588000/(2x396)

LCM = 60648588000/792

LCM = 76576500

Thus, we can understand that the LCM of 198,572,714,750 is 76576500.

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

• LCM of 544, 162, 972, 973
• LCM of 282, 118, 563, 125
• LCM of 231, 250, 377, 100
• LCM of 312, 642, 584, 141
• LCM of 223, 113, 482, 313

1. What is the LCM of 198, 572, 714, 750?

Answer: LCM of 198, 572, 714, 750 is 76576500.

2. How to calculate the LCM of 198, 572, 714, 750?

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 198, 572, 714, 750.

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}.