Given numbers are 294,303,268,237

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

The LCM of 294,303,268,237 is 314340684.

Find LCM of 294,303,268,237 with Prime Factorization

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

2 x 3 x 49 x 101 x 134 x 79 = 314340684

Therefore, the lowest common multiple of 294,303,268,237 is 314340684.

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.

294 x 303 x 268 x 237 = 5658132312

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

303 : 1, 3, 101, 303

268 : 1, 2, 4, 67, 134, 268

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,303,268,237, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

303:3x 101

268:2x 2x 67

237:3x 79

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5658132312/(1x18)

LCM = 5658132312/18

LCM = 314340684

Thus, we can understand that the LCM of 294,303,268,237 is 314340684.

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

• LCM of 514, 731, 931, 591
• LCM of 205, 385, 733, 228
• LCM of 619, 408, 186, 342
• LCM of 291, 438, 863, 854
• LCM of 913, 516, 650, 295

1. What is the LCM of 294, 303, 268, 237?

Answer: LCM of 294, 303, 268, 237 is 314340684.

2. How to calculate the LCM of 294, 303, 268, 237?

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 294, 303, 268, 237.

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}.