Given numbers are 240,219,183,969,373

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

The LCM of 240,219,183,969,373 is 128758316880.

Find LCM of 240,219,183,969,373 with Prime Factorization

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

3 x 80 x 73 x 61 x 323 x 373 = 128758316880

Therefore, the lowest common multiple of 240,219,183,969,373 is 128758316880.

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.

240 x 219 x 183 x 969 x 373 = 3476474555760

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

219 : 1, 3, 73, 219

183 : 1, 3, 61, 183

969 : 1, 3, 17, 19, 51, 57, 323, 969

373 : 1, 373

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,219,183,969,373, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

219:3x 73

183:3x 61

969:3x 17x 19

373:373

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 3476474555760/(1x27)

LCM = 3476474555760/27

LCM = 128758316880

Thus, we can understand that the LCM of 240,219,183,969,373 is 128758316880.

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

• LCM of 113, 354, 713, 438, 170
• LCM of 507, 296, 627, 519, 642
• LCM of 784, 530, 468, 401, 588
• LCM of 616, 813, 969, 905, 521
• LCM of 868, 611, 311, 995, 376

1. What is the LCM of 240, 219, 183, 969, 373?

Answer: LCM of 240, 219, 183, 969, 373 is 128758316880.

2. How to calculate the LCM of 240, 219, 183, 969, 373?

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 240, 219, 183, 969, 373.

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}.