Given numbers are 198,201,762,756

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

The LCM of 198,201,762,756 is 70760844.

Find LCM of 198,201,762,756 with Prime Factorization

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

2 x 3 x 3 x 11 x 67 x 127 x 42 = 70760844

Therefore, the lowest common multiple of 198,201,762,756 is 70760844.

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 201 x 762 x 756 = 22926513456

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

201 : 1, 3, 67, 201

762 : 1, 2, 3, 6, 127, 254, 381, 762

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,201,762,756, is 3.

Now, the common factors can be found like this.

198:2x 3x 3x 11

201:3x 67

762:2x 3x 127

756:2x 2x 3x 3x 3x 7

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 3 = 108

Therefore, the value for common factors is 108.

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 = 22926513456/(3x108)

LCM = 22926513456/324

LCM = 70760844

Thus, we can understand that the LCM of 198,201,762,756 is 70760844.

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

• LCM of 839, 719, 286, 690
• LCM of 674, 802, 365, 560
• LCM of 932, 617, 632, 144
• LCM of 629, 401, 300, 615
• LCM of 794, 172, 284, 856

1. What is the LCM of 198, 201, 762, 756?

Answer: LCM of 198, 201, 762, 756 is 70760844.

2. How to calculate the LCM of 198, 201, 762, 756?

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, 201, 762, 756.

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}.