Given numbers are 343,824,409,940

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

The LCM of 343,824,409,940 is 27165174680.

Find LCM of 343,824,409,940 with Prime Factorization

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

2 x 2 x 343 x 206 x 409 x 235 = 27165174680

Therefore, the lowest common multiple of 343,824,409,940 is 27165174680.

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.

343 x 824 x 409 x 940 = 108660698720

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.

343 : 1, 7, 49, 343

824 : 1, 2, 4, 8, 103, 206, 412, 824

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,824,409,940, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

824:2x 2x 2x 103

409:409

940:2x 2x 5x 47

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 = 108660698720/(1x4)

LCM = 108660698720/4

LCM = 27165174680

Thus, we can understand that the LCM of 343,824,409,940 is 27165174680.

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

• LCM of 594, 381, 952, 452
• LCM of 401, 870, 961, 475
• LCM of 641, 441, 614, 836
• LCM of 279, 746, 476, 224
• LCM of 185, 985, 615, 254

1. What is the LCM of 343, 824, 409, 940?

Answer: LCM of 343, 824, 409, 940 is 27165174680.

2. How to calculate the LCM of 343, 824, 409, 940?

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 343, 824, 409, 940.

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}.