Given numbers are 149,391,400,225

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

The LCM of 149,391,400,225 is 209732400.

Find LCM of 149,391,400,225 with Prime Factorization

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

5 x 5 x 149 x 391 x 16 x 9 = 209732400

Therefore, the lowest common multiple of 149,391,400,225 is 209732400.

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.

149 x 391 x 400 x 225 = 5243310000

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.

149 : 1, 149

391 : 1, 17, 23, 391

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,391,400,225, is 1.

Now, the common factors can be found like this.

149:149

391:17x 23

400:2x 2x 2x 2x 5x 5

225:3x 3x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 5243310000/(1x25)

LCM = 5243310000/25

LCM = 209732400

Thus, we can understand that the LCM of 149,391,400,225 is 209732400.

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

• LCM of 575, 383, 375, 189
• LCM of 486, 713, 377, 973
• LCM of 271, 613, 601, 443
• LCM of 986, 400, 158, 388
• LCM of 483, 389, 433, 155

1. What is the LCM of 149, 391, 400, 225?

Answer: LCM of 149, 391, 400, 225 is 209732400.

2. How to calculate the LCM of 149, 391, 400, 225?

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 149, 391, 400, 225.

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}.