Given numbers are 260,129,115,565

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

The LCM of 260,129,115,565 is 87170460.

Find LCM of 260,129,115,565 with Prime Factorization

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

5 x 52 x 129 x 23 x 113 = 87170460

Therefore, the lowest common multiple of 260,129,115,565 is 87170460.

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.

260 x 129 x 115 x 565 = 2179261500

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.

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

129 : 1, 3, 43, 129

115 : 1, 5, 23, 115

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,129,115,565, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

129:3x 43

115:5x 23

565:5x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 2179261500/(1x25)

LCM = 2179261500/25

LCM = 87170460

Thus, we can understand that the LCM of 260,129,115,565 is 87170460.

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

• LCM of 883, 760, 976, 141
• LCM of 652, 341, 582, 195
• LCM of 511, 930, 614, 181
• LCM of 157, 987, 405, 125
• LCM of 777, 503, 546, 569

1. What is the LCM of 260, 129, 115, 565?

Answer: LCM of 260, 129, 115, 565 is 87170460.

2. How to calculate the LCM of 260, 129, 115, 565?

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 260, 129, 115, 565.

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}.