Given numbers are 528,578,270,214

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

The LCM of 528,578,270,214 is 734730480.

Find LCM of 528,578,270,214 with Prime Factorization

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

2 x 3 x 88 x 289 x 45 x 107 = 734730480

Therefore, the lowest common multiple of 528,578,270,214 is 734730480.

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 578 x 270 x 214 = 17633531520

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

578 : 1, 2, 17, 34, 289, 578

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,578,270,214, is 2.

Now, the common factors can be found like this.

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

578:2x 17x 17

270:2x 3x 3x 3x 5

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 17633531520/(2x12)

LCM = 17633531520/24

LCM = 734730480

Thus, we can understand that the LCM of 528,578,270,214 is 734730480.

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

• LCM of 496, 899, 117, 767
• LCM of 615, 301, 276, 130
• LCM of 254, 355, 601, 656
• LCM of 979, 565, 447, 204
• LCM of 632, 738, 696, 557

1. What is the LCM of 528, 578, 270, 214?

Answer: LCM of 528, 578, 270, 214 is 734730480.

2. How to calculate the LCM of 528, 578, 270, 214?

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, 578, 270, 214.

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}.