Given numbers are 424,489,509,678

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

The LCM of 424,489,509,678 is 11925344712.

Find LCM of 424,489,509,678 with Prime Factorization

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

2 x 3 x 212 x 163 x 509 x 113 = 11925344712

Therefore, the lowest common multiple of 424,489,509,678 is 11925344712.

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.

424 x 489 x 509 x 678 = 71552068272

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

489 : 1, 3, 163, 489

509 : 1, 509

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,489,509,678, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

489:3x 163

509:509

678:2x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 71552068272/(1x6)

LCM = 71552068272/6

LCM = 11925344712

Thus, we can understand that the LCM of 424,489,509,678 is 11925344712.

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

• LCM of 993, 604, 347, 556
• LCM of 949, 873, 349, 726
• LCM of 172, 955, 948, 732
• LCM of 341, 758, 847, 213
• LCM of 943, 665, 837, 645

1. What is the LCM of 424, 489, 509, 678?

Answer: LCM of 424, 489, 509, 678 is 11925344712.

2. How to calculate the LCM of 424, 489, 509, 678?

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 424, 489, 509, 678.

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}.