Given numbers are 342,940,509,201,452

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

The LCM of 342,940,509,201,452 is 619433932860.

Find LCM of 342,940,509,201,452 with Prime Factorization

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

2 x 2 x 3 x 57 x 235 x 509 x 67 x 113 = 619433932860

Therefore, the lowest common multiple of 342,940,509,201,452 is 619433932860.

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.

342 x 940 x 509 x 201 x 452 = 14866414388640

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

509 : 1, 509

201 : 1, 3, 67, 201

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,940,509,201,452, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

940:2x 2x 5x 47

509:509

201:3x 67

452:2x 2x 113

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 3 = 24

Therefore, the value for common factors is 24.

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 = 14866414388640/(1x24)

LCM = 14866414388640/24

LCM = 619433932860

Thus, we can understand that the LCM of 342,940,509,201,452 is 619433932860.

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

• LCM of 200, 131, 371, 171, 471
• LCM of 594, 436, 940, 598, 968
• LCM of 473, 771, 842, 619, 943
• LCM of 468, 340, 343, 878, 929
• LCM of 635, 817, 157, 903, 483

1. What is the LCM of 342, 940, 509, 201, 452?

Answer: LCM of 342, 940, 509, 201, 452 is 619433932860.

2. How to calculate the LCM of 342, 940, 509, 201, 452?

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 342, 940, 509, 201, 452.

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}.