Given numbers are 528,148,296,224

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

The LCM of 528,148,296,224 is 273504.

Find LCM of 528,148,296,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 37 x 33 x 1 x 1 x 14 = 273504

Therefore, the lowest common multiple of 528,148,296,224 is 273504.

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 148 x 296 x 224 = 5181259776

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

148 : 1, 2, 4, 37, 74, 148

296 : 1, 2, 4, 8, 37, 74, 148, 296

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,148,296,224, is 4.

Now, the common factors can be found like this.

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

148:2x 2x 37

296:2x 2x 2x 37

224:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 37 = 4736

Therefore, the value for common factors is 4736.

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 = 5181259776/(4x4736)

LCM = 5181259776/18944

LCM = 273504

Thus, we can understand that the LCM of 528,148,296,224 is 273504.

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

• LCM of 529, 764, 714, 116
• LCM of 763, 150, 169, 507
• LCM of 214, 425, 578, 664
• LCM of 534, 700, 664, 661
• LCM of 452, 648, 890, 490

1. What is the LCM of 528, 148, 296, 224?

Answer: LCM of 528, 148, 296, 224 is 273504.

2. How to calculate the LCM of 528, 148, 296, 224?

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, 148, 296, 224.

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}.