Given numbers are 260,770,160,220,869

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

The LCM of 260,770,160,220,869 is 12652640.

Find LCM of 260,770,160,220,869 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 7 x 8 x 1 x 79 = 12652640

Therefore, the lowest common multiple of 260,770,160,220,869 is 12652640.

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 770 x 160 x 220 x 869 = 6123877760000

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,770,160,220,869, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

770:2x 5x 7x 11

160:2x 2x 2x 2x 2x 5

220:2x 2x 5x 11

869:11x 79

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 5x 5x 5x 11x 11 = 484000

Therefore, the value for common factors is 484000.

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 = 6123877760000/(1x484000)

LCM = 6123877760000/484000

LCM = 12652640

Thus, we can understand that the LCM of 260,770,160,220,869 is 12652640.

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

• LCM of 252, 868, 854, 502, 253
• LCM of 365, 599, 612, 190, 314
• LCM of 944, 810, 570, 855, 178
• LCM of 711, 656, 697, 501, 871
• LCM of 334, 697, 436, 597, 519

1. What is the LCM of 260, 770, 160, 220, 869?

Answer: LCM of 260, 770, 160, 220, 869 is 12652640.

2. How to calculate the LCM of 260, 770, 160, 220, 869?

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, 770, 160, 220, 869.

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}.