Given numbers are 150,174,273,312

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

The LCM of 150,174,273,312 is 1583400.

Find LCM of 150,174,273,312 with Prime Factorization

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

2 x 3 x 13 x 25 x 29 x 7 x 4 = 1583400

Therefore, the lowest common multiple of 150,174,273,312 is 1583400.

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.

150 x 174 x 273 x 312 = 2223093600

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

174 : 1, 2, 3, 6, 29, 58, 87, 174

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,174,273,312, is 3.

Now, the common factors can be found like this.

150:2x 3x 5x 5

174:2x 3x 29

273:3x 7x 13

312:2x 2x 2x 3x 13

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

2x 2x 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 2223093600/(3x468)

LCM = 2223093600/1404

LCM = 1583400

Thus, we can understand that the LCM of 150,174,273,312 is 1583400.

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

• LCM of 927, 140, 574, 705
• LCM of 323, 856, 559, 164
• LCM of 733, 499, 618, 883
• LCM of 920, 964, 911, 244
• LCM of 109, 894, 615, 644

1. What is the LCM of 150, 174, 273, 312?

Answer: LCM of 150, 174, 273, 312 is 1583400.

2. How to calculate the LCM of 150, 174, 273, 312?

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 150, 174, 273, 312.

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}.