Given numbers are 528,181,225,968

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

The LCM of 528,181,225,968 is 78843600.

Find LCM of 528,181,225,968 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 2 x 181 x 75 x 11 = 78843600

Therefore, the lowest common multiple of 528,181,225,968 is 78843600.

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.

528 x 181 x 225 x 968 = 20814710400

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

181 : 1, 181

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,181,225,968, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

181:181

225:3x 3x 5x 5

968:2x 2x 2x 11x 11

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 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 20814710400/(1x264)

LCM = 20814710400/264

LCM = 78843600

Thus, we can understand that the LCM of 528,181,225,968 is 78843600.

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

• LCM of 134, 733, 479, 182
• LCM of 688, 494, 823, 431
• LCM of 969, 899, 141, 243
• LCM of 314, 595, 127, 606
• LCM of 233, 645, 349, 780

1. What is the LCM of 528, 181, 225, 968?

Answer: LCM of 528, 181, 225, 968 is 78843600.

2. How to calculate the LCM of 528, 181, 225, 968?

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 528, 181, 225, 968.

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}.