Given numbers are 157,314,400,867

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

The LCM of 157,314,400,867 is 54447600.

Find LCM of 157,314,400,867 with Prime Factorization

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

2 x 157 x 1 x 1 x 200 x 867 = 54447600

Therefore, the lowest common multiple of 157,314,400,867 is 54447600.

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.

157 x 314 x 400 x 867 = 17096546400

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.

157 : 1, 157

314 : 1, 2, 157, 314

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

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,314,400,867, is 1.

Now, the common factors can be found like this.

157:157

314:2x 157

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

867:3x 17x 17

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 17096546400/(1x314)

LCM = 17096546400/314

LCM = 54447600

Thus, we can understand that the LCM of 157,314,400,867 is 54447600.

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

• LCM of 412, 621, 196, 694
• LCM of 256, 882, 144, 415
• LCM of 104, 960, 278, 609
• LCM of 185, 964, 942, 120
• LCM of 758, 372, 873, 466

1. What is the LCM of 157, 314, 400, 867?

Answer: LCM of 157, 314, 400, 867 is 54447600.

2. How to calculate the LCM of 157, 314, 400, 867?

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 157, 314, 400, 867.

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}.