Given numbers are 533,127,138,304,260

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

The LCM of 533,127,138,304,260 is 7099432080.

Find LCM of 533,127,138,304,260 with Prime Factorization

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

2 x 2 x 13 x 41 x 127 x 69 x 76 x 5 = 7099432080

Therefore, the lowest common multiple of 533,127,138,304,260 is 7099432080.

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.

533 x 127 x 138 x 304 x 260 = 738340936320

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.

533 : 1, 13, 41, 533

127 : 1, 127

138 : 1, 2, 3, 6, 23, 46, 69, 138

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 533,127,138,304,260, is 1.

Now, the common factors can be found like this.

533:13x 41

127:127

138:2x 3x 23

304:2x 2x 2x 2x 19

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 738340936320/(1x104)

LCM = 738340936320/104

LCM = 7099432080

Thus, we can understand that the LCM of 533,127,138,304,260 is 7099432080.

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

• LCM of 112, 883, 770, 715, 765
• LCM of 530, 843, 911, 469, 945
• LCM of 997, 275, 885, 140, 333
• LCM of 130, 903, 687, 904, 370
• LCM of 346, 207, 835, 398, 251

1. What is the LCM of 533, 127, 138, 304, 260?

Answer: LCM of 533, 127, 138, 304, 260 is 7099432080.

2. How to calculate the LCM of 533, 127, 138, 304, 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 533, 127, 138, 304, 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}.