Given numbers are 528,193,213,260

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

The LCM of 528,193,213,260 is 470286960.

Find LCM of 528,193,213,260 with Prime Factorization

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

2 x 2 x 3 x 44 x 193 x 71 x 65 = 470286960

Therefore, the lowest common multiple of 528,193,213,260 is 470286960.

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 193 x 213 x 260 = 5643443520

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

193 : 1, 193

213 : 1, 3, 71, 213

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,193,213,260, is 1.

Now, the common factors can be found like this.

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

193:193

213:3x 71

260:2x 2x 5x 13

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 = 5643443520/(1x12)

LCM = 5643443520/12

LCM = 470286960

Thus, we can understand that the LCM of 528,193,213,260 is 470286960.

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

• LCM of 142, 760, 386, 597
• LCM of 152, 631, 818, 294
• LCM of 354, 243, 520, 330
• LCM of 138, 492, 939, 799
• LCM of 650, 885, 449, 109

1. What is the LCM of 528, 193, 213, 260?

Answer: LCM of 528, 193, 213, 260 is 470286960.

2. How to calculate the LCM of 528, 193, 213, 260?

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, 193, 213, 260.

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}.