Given numbers are 506,424,942

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

The LCM of 506,424,942 is 50525112.

Find LCM of 506,424,942 with Prime Factorization

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

2 x 253 x 212 x 471 = 50525112

Therefore, the lowest common multiple of 506,424,942 is 50525112.

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.

506 x 424 x 942 = 202100448

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,424,942, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

424:2x 2x 2x 53

942:2x 3x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 202100448/(2x2)

LCM = 202100448/4

LCM = 50525112

Thus, we can understand that the LCM of 506,424,942 is 50525112.

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

• LCM of 793, 953, 949
• LCM of 748, 595, 529
• LCM of 843, 117, 892
• LCM of 839, 928, 256
• LCM of 568, 790, 628

1. What is the LCM of 506, 424, 942?

Answer: LCM of 506, 424, 942 is 50525112.

2. How to calculate the LCM of 506, 424, 942?

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 506, 424, 942.

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}.