Given numbers are 251,24,506,190

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

The LCM of 251,24,506,190 is 144786840.

Find LCM of 251,24,506,190 with Prime Factorization

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

2 x 251 x 12 x 253 x 95 = 144786840

Therefore, the lowest common multiple of 251,24,506,190 is 144786840.

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.

251 x 24 x 506 x 190 = 579147360

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.

251 : 1, 251

24 : 1, 2, 3, 4, 6, 8, 12, 24

506 : 1, 2, 11, 22, 23, 46, 253, 506

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,24,506,190, is 1.

Now, the common factors can be found like this.

251:251

24:2x 2x 2x 3

506:2x 11x 23

190:2x 5x 19

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 = 579147360/(1x4)

LCM = 579147360/4

LCM = 144786840

Thus, we can understand that the LCM of 251,24,506,190 is 144786840.

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

• LCM of 708, 16, 349, 135
• LCM of 807, 29, 362, 876
• LCM of 426, 65, 313, 663
• LCM of 572, 43, 630, 425
• LCM of 292, 87, 753, 474

1. What is the LCM of 251, 24, 506, 190?

Answer: LCM of 251, 24, 506, 190 is 144786840.

2. How to calculate the LCM of 251, 24, 506, 190?

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 251, 24, 506, 190.

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}.