Given numbers are 506,458,939,840,838

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

The LCM of 506,458,939,840,838 is 6382541540760.

Find LCM of 506,458,939,840,838 with Prime Factorization

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

2 x 3 x 253 x 229 x 313 x 140 x 419 = 6382541540760

Therefore, the lowest common multiple of 506,458,939,840,838 is 6382541540760.

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 458 x 939 x 840 x 838 = 153180996978240

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

458 : 1, 2, 229, 458

939 : 1, 3, 313, 939

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,458,939,840,838, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

458:2x 229

939:3x 313

840:2x 2x 2x 3x 5x 7

838:2x 419

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 = 153180996978240/(1x24)

LCM = 153180996978240/24

LCM = 6382541540760

Thus, we can understand that the LCM of 506,458,939,840,838 is 6382541540760.

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

• LCM of 310, 783, 605, 111, 936
• LCM of 153, 153, 157, 911, 630
• LCM of 765, 790, 302, 734, 792
• LCM of 281, 371, 659, 760, 297
• LCM of 128, 466, 208, 482, 821

1. What is the LCM of 506, 458, 939, 840, 838?

Answer: LCM of 506, 458, 939, 840, 838 is 6382541540760.

2. How to calculate the LCM of 506, 458, 939, 840, 838?

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, 458, 939, 840, 838.

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}.