Given numbers are 253,316,214,250

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

The LCM of 253,316,214,250 is 1069304500.

Find LCM of 253,316,214,250 with Prime Factorization

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

2 x 253 x 158 x 107 x 125 = 1069304500

Therefore, the lowest common multiple of 253,316,214,250 is 1069304500.

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 316 x 214 x 250 = 4277218000

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

316 : 1, 2, 4, 79, 158, 316

214 : 1, 2, 107, 214

250 : 1, 2, 5, 10, 25, 50, 125, 250

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,316,214,250, is 1.

Now, the common factors can be found like this.

253:11x 23

316:2x 2x 79

214:2x 107

250:2x 5x 5x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 4277218000/(1x4)

LCM = 4277218000/4

LCM = 1069304500

Thus, we can understand that the LCM of 253,316,214,250 is 1069304500.

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

• LCM of 282, 330, 483, 685
• LCM of 280, 225, 436, 982
• LCM of 126, 442, 601, 673
• LCM of 634, 685, 658, 621
• LCM of 146, 513, 935, 523

1. What is the LCM of 253, 316, 214, 250?

Answer: LCM of 253, 316, 214, 250 is 1069304500.

2. How to calculate the LCM of 253, 316, 214, 250?

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, 316, 214, 250.

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}.