Given numbers are 275,253,323,616

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

The LCM of 275,253,323,616 is 114406600.

Find LCM of 275,253,323,616 with Prime Factorization

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

11 x 25 x 23 x 323 x 56 = 114406600

Therefore, the lowest common multiple of 275,253,323,616 is 114406600.

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.

275 x 253 x 323 x 616 = 13843198600

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.

275 : 1, 5, 11, 25, 55, 275

253 : 1, 11, 23, 253

323 : 1, 17, 19, 323

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,253,323,616, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

253:11x 23

323:17x 19

616:2x 2x 2x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 13843198600/(1x121)

LCM = 13843198600/121

LCM = 114406600

Thus, we can understand that the LCM of 275,253,323,616 is 114406600.

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

• LCM of 312, 933, 356, 545
• LCM of 309, 665, 536, 373
• LCM of 144, 940, 252, 257
• LCM of 988, 741, 816, 286
• LCM of 260, 550, 652, 740

1. What is the LCM of 275, 253, 323, 616?

Answer: LCM of 275, 253, 323, 616 is 114406600.

2. How to calculate the LCM of 275, 253, 323, 616?

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 275, 253, 323, 616.

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}.