Given numbers are 369,380,218,652

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

The LCM of 369,380,218,652 is 2491288740.

Find LCM of 369,380,218,652 with Prime Factorization

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

2 x 2 x 369 x 95 x 109 x 163 = 2491288740

Therefore, the lowest common multiple of 369,380,218,652 is 2491288740.

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.

369 x 380 x 218 x 652 = 19930309920

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.

369 : 1, 3, 9, 41, 123, 369

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

218 : 1, 2, 109, 218

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,380,218,652, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

380:2x 2x 5x 19

218:2x 109

652:2x 2x 163

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 2 = 8

Therefore, the value for common factors is 8.

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 = 19930309920/(1x8)

LCM = 19930309920/8

LCM = 2491288740

Thus, we can understand that the LCM of 369,380,218,652 is 2491288740.

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

• LCM of 110, 113, 246, 751
• LCM of 682, 656, 197, 524
• LCM of 506, 404, 370, 143
• LCM of 158, 314, 910, 373
• LCM of 567, 752, 498, 228

1. What is the LCM of 369, 380, 218, 652?

Answer: LCM of 369, 380, 218, 652 is 2491288740.

2. How to calculate the LCM of 369, 380, 218, 652?

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 369, 380, 218, 652.

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}.