Given numbers are 260,460,827,292,104

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

The LCM of 260,460,827,292,104 is 722037160.

Find LCM of 260,460,827,292,104 with Prime Factorization

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

2 x 2 x 5 x 13 x 1 x 23 x 827 x 73 x 2 = 722037160

Therefore, the lowest common multiple of 260,460,827,292,104 is 722037160.

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 460 x 827 x 292 x 104 = 3003674585600

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

827 : 1, 827

292 : 1, 2, 4, 73, 146, 292

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,460,827,292,104, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

460:2x 2x 5x 23

827:827

292:2x 2x 73

104:2x 2x 2x 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 2x 2x 2x 5x 13 = 4160

Therefore, the value for common factors is 4160.

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 = 3003674585600/(1x4160)

LCM = 3003674585600/4160

LCM = 722037160

Thus, we can understand that the LCM of 260,460,827,292,104 is 722037160.

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

• LCM of 103, 304, 553, 761, 274
• LCM of 944, 357, 277, 263, 428
• LCM of 646, 990, 729, 609, 699
• LCM of 753, 654, 315, 470, 978
• LCM of 909, 942, 244, 311, 427

1. What is the LCM of 260, 460, 827, 292, 104?

Answer: LCM of 260, 460, 827, 292, 104 is 722037160.

2. How to calculate the LCM of 260, 460, 827, 292, 104?

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, 460, 827, 292, 104.

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}.