Given numbers are 253,312,278

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

The LCM of 253,312,278 is 10972104.

Find LCM of 253,312,278 with Prime Factorization

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

2 x 253 x 156 x 139 = 10972104

Therefore, the lowest common multiple of 253,312,278 is 10972104.

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.

253 x 312 x 278 = 21944208

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.

253 : 1, 11, 23, 253

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,312,278, is 1.

Now, the common factors can be found like this.

253:11x 23

312:2x 2x 2x 3x 13

278:2x 139

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21944208/(1x2)

LCM = 21944208/2

LCM = 10972104

Thus, we can understand that the LCM of 253,312,278 is 10972104.

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

• LCM of 587, 511, 468
• LCM of 152, 106, 741
• LCM of 778, 717, 788
• LCM of 779, 625, 197
• LCM of 310, 423, 439

1. What is the LCM of 253, 312, 278?

Answer: LCM of 253, 312, 278 is 10972104.

2. How to calculate the LCM of 253, 312, 278?

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 253, 312, 278.

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}.