Given numbers are 260,506,141,644,852

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

The LCM of 260,506,141,644,852 is 4609665060.

Find LCM of 260,506,141,644,852 with Prime Factorization

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

2 x 2 x 3 x 23 x 65 x 11 x 47 x 7 x 71 = 4609665060

Therefore, the lowest common multiple of 260,506,141,644,852 is 4609665060.

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 506 x 141 x 644 x 852 = 10178140452480

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

141 : 1, 3, 47, 141

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,506,141,644,852, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

506:2x 11x 23

141:3x 47

644:2x 2x 7x 23

852:2x 2x 3x 71

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 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 10178140452480/(1x2208)

LCM = 10178140452480/2208

LCM = 4609665060

Thus, we can understand that the LCM of 260,506,141,644,852 is 4609665060.

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

• LCM of 566, 145, 407, 127, 467
• LCM of 108, 493, 631, 400, 287
• LCM of 911, 143, 142, 825, 481
• LCM of 384, 605, 194, 940, 649
• LCM of 400, 459, 647, 831, 339

1. What is the LCM of 260, 506, 141, 644, 852?

Answer: LCM of 260, 506, 141, 644, 852 is 4609665060.

2. How to calculate the LCM of 260, 506, 141, 644, 852?

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, 506, 141, 644, 852.

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}.