Given numbers are 506,377,767,442

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

The LCM of 506,377,767,442 is 191334286.

Find LCM of 506,377,767,442 with Prime Factorization

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

2 x 13 x 253 x 29 x 59 x 17 = 191334286

Therefore, the lowest common multiple of 506,377,767,442 is 191334286.

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 377 x 767 x 442 = 64670988668

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

377 : 1, 13, 29, 377

767 : 1, 13, 59, 767

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,377,767,442, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

377:13x 29

767:13x 59

442:2x 13x 17

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 64670988668/(1x338)

LCM = 64670988668/338

LCM = 191334286

Thus, we can understand that the LCM of 506,377,767,442 is 191334286.

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

• LCM of 623, 661, 312, 263
• LCM of 152, 761, 249, 727
• LCM of 847, 961, 592, 727
• LCM of 870, 987, 143, 785
• LCM of 849, 522, 976, 148

1. What is the LCM of 506, 377, 767, 442?

Answer: LCM of 506, 377, 767, 442 is 191334286.

2. How to calculate the LCM of 506, 377, 767, 442?

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, 377, 767, 442.

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}.