Given numbers are 509,948,422,418

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

The LCM of 509,948,422,418 is 21279178668.

Find LCM of 509,948,422,418 with Prime Factorization

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

2 x 509 x 474 x 211 x 209 = 21279178668

Therefore, the lowest common multiple of 509,948,422,418 is 21279178668.

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.

509 x 948 x 422 x 418 = 85116714672

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.

509 : 1, 509

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

422 : 1, 2, 211, 422

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,948,422,418, is 1.

Now, the common factors can be found like this.

509:509

948:2x 2x 3x 79

422:2x 211

418:2x 11x 19

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 = 85116714672/(1x4)

LCM = 85116714672/4

LCM = 21279178668

Thus, we can understand that the LCM of 509,948,422,418 is 21279178668.

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

• LCM of 186, 616, 399, 890
• LCM of 944, 176, 462, 680
• LCM of 935, 712, 198, 285
• LCM of 690, 942, 910, 399
• LCM of 973, 511, 474, 545

1. What is the LCM of 509, 948, 422, 418?

Answer: LCM of 509, 948, 422, 418 is 21279178668.

2. How to calculate the LCM of 509, 948, 422, 418?

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 509, 948, 422, 418.

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}.