Given numbers are 189,115,266,764

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

The LCM of 189,115,266,764 is 315505260.

Find LCM of 189,115,266,764 with Prime Factorization

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

2 x 7 x 27 x 115 x 19 x 382 = 315505260

Therefore, the lowest common multiple of 189,115,266,764 is 315505260.

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.

189 x 115 x 266 x 764 = 4417073640

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

115 : 1, 5, 23, 115

266 : 1, 2, 7, 14, 19, 38, 133, 266

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,115,266,764, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

115:5x 23

266:2x 7x 19

764:2x 2x 191

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 4417073640/(1x14)

LCM = 4417073640/14

LCM = 315505260

Thus, we can understand that the LCM of 189,115,266,764 is 315505260.

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

• LCM of 957, 666, 628, 844
• LCM of 110, 267, 351, 191
• LCM of 212, 703, 962, 578
• LCM of 940, 628, 176, 352
• LCM of 142, 286, 153, 862

1. What is the LCM of 189, 115, 266, 764?

Answer: LCM of 189, 115, 266, 764 is 315505260.

2. How to calculate the LCM of 189, 115, 266, 764?

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 189, 115, 266, 764.

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}.