Given numbers are 240,299,180,984,874

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

The LCM of 240,299,180,984,874 is 167703120.

Find LCM of 240,299,180,984,874 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 2 x 13 x 3 x 41 x 19 = 167703120

Therefore, the lowest common multiple of 240,299,180,984,874 is 167703120.

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 299 x 180 x 984 x 874 = 11108654668800

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

299 : 1, 13, 23, 299

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,299,180,984,874, is 1.

Now, the common factors can be found like this.

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

299:13x 23

180:2x 2x 3x 3x 5

984:2x 2x 2x 3x 41

874:2x 19x 23

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 2x 2x 2x 2x 3x 3x 5x 23 = 66240

Therefore, the value for common factors is 66240.

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 = 11108654668800/(1x66240)

LCM = 11108654668800/66240

LCM = 167703120

Thus, we can understand that the LCM of 240,299,180,984,874 is 167703120.

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

• LCM of 281, 839, 540, 415, 577
• LCM of 784, 374, 640, 550, 752
• LCM of 681, 193, 663, 958, 629
• LCM of 979, 828, 130, 280, 199
• LCM of 597, 673, 308, 277, 636

1. What is the LCM of 240, 299, 180, 984, 874?

Answer: LCM of 240, 299, 180, 984, 874 is 167703120.

2. How to calculate the LCM of 240, 299, 180, 984, 874?

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, 299, 180, 984, 874.

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}.