Given numbers are 216,248,438,528

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

The LCM of 216,248,438,528 is 10753776.

Find LCM of 216,248,438,528 with Prime Factorization

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

2 x 2 x 2 x 3 x 9 x 31 x 73 x 22 = 10753776

Therefore, the lowest common multiple of 216,248,438,528 is 10753776.

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.

216 x 248 x 438 x 528 = 12388349952

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

248 : 1, 2, 4, 8, 31, 62, 124, 248

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,248,438,528, is 2.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

248:2x 2x 2x 31

438:2x 3x 73

528:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 12388349952/(2x576)

LCM = 12388349952/1152

LCM = 10753776

Thus, we can understand that the LCM of 216,248,438,528 is 10753776.

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

• LCM of 105, 851, 655, 341
• LCM of 781, 853, 652, 905
• LCM of 932, 425, 973, 804
• LCM of 339, 548, 472, 801
• LCM of 636, 187, 753, 562

1. What is the LCM of 216, 248, 438, 528?

Answer: LCM of 216, 248, 438, 528 is 10753776.

2. How to calculate the LCM of 216, 248, 438, 528?

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 216, 248, 438, 528.

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}.