Given numbers are 218,102,974,743

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

The LCM of 218,102,974,743 is 4022948238.

Find LCM of 218,102,974,743 with Prime Factorization

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

2 x 109 x 51 x 487 x 743 = 4022948238

Therefore, the lowest common multiple of 218,102,974,743 is 4022948238.

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.

218 x 102 x 974 x 743 = 16091792952

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.

218 : 1, 2, 109, 218

102 : 1, 2, 3, 6, 17, 34, 51, 102

974 : 1, 2, 487, 974

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,102,974,743, is 1.

Now, the common factors can be found like this.

218:2x 109

102:2x 3x 17

974:2x 487

743:743

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16091792952/(1x4)

LCM = 16091792952/4

LCM = 4022948238

Thus, we can understand that the LCM of 218,102,974,743 is 4022948238.

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

• LCM of 195, 392, 229, 896
• LCM of 784, 955, 791, 330
• LCM of 398, 412, 384, 589
• LCM of 460, 494, 230, 131
• LCM of 494, 735, 231, 761

1. What is the LCM of 218, 102, 974, 743?

Answer: LCM of 218, 102, 974, 743 is 4022948238.

2. How to calculate the LCM of 218, 102, 974, 743?

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 218, 102, 974, 743.

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}.