Given numbers are 260,273,410,610,752

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

The LCM of 260,273,410,610,752 is 2567226480.

Find LCM of 260,273,410,610,752 with Prime Factorization

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

2 x 2 x 5 x 13 x 1 x 21 x 41 x 61 x 188 = 2567226480

Therefore, the lowest common multiple of 260,273,410,610,752 is 2567226480.

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 273 x 410 x 610 x 752 = 13349577696000

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

410 : 1, 2, 5, 10, 41, 82, 205, 410

610 : 1, 2, 5, 10, 61, 122, 305, 610

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,273,410,610,752, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

273:3x 7x 13

410:2x 5x 41

610:2x 5x 61

752:2x 2x 2x 2x 47

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 13349577696000/(1x5200)

LCM = 13349577696000/5200

LCM = 2567226480

Thus, we can understand that the LCM of 260,273,410,610,752 is 2567226480.

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

• LCM of 859, 620, 412, 864, 166
• LCM of 832, 628, 577, 317, 403
• LCM of 347, 916, 871, 675, 119
• LCM of 729, 120, 710, 599, 681
• LCM of 826, 759, 580, 667, 439

1. What is the LCM of 260, 273, 410, 610, 752?

Answer: LCM of 260, 273, 410, 610, 752 is 2567226480.

2. How to calculate the LCM of 260, 273, 410, 610, 752?

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, 273, 410, 610, 752.

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}.