Given numbers are 410,578,287,268

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

The LCM of 410,578,287,268 is 111143620.

Find LCM of 410,578,287,268 with Prime Factorization

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

2 x 41 x 5 x 289 x 7 x 134 = 111143620

Therefore, the lowest common multiple of 410,578,287,268 is 111143620.

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.

410 x 578 x 287 x 268 = 18227553680

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.

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

578 : 1, 2, 17, 34, 289, 578

287 : 1, 7, 41, 287

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,578,287,268, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

578:2x 17x 17

287:7x 41

268:2x 2x 67

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 41 = 164

Therefore, the value for common factors is 164.

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 = 18227553680/(1x164)

LCM = 18227553680/164

LCM = 111143620

Thus, we can understand that the LCM of 410,578,287,268 is 111143620.

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

• LCM of 514, 257, 812, 857
• LCM of 209, 856, 925, 550
• LCM of 933, 152, 541, 255
• LCM of 400, 167, 886, 682
• LCM of 881, 160, 364, 661

1. What is the LCM of 410, 578, 287, 268?

Answer: LCM of 410, 578, 287, 268 is 111143620.

2. How to calculate the LCM of 410, 578, 287, 268?

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 410, 578, 287, 268.

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}.