Given numbers are 508,377,762,421

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

The LCM of 508,377,762,421 is 241884708.

Find LCM of 508,377,762,421 with Prime Factorization

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

2 x 127 x 2 x 377 x 3 x 421 = 241884708

Therefore, the lowest common multiple of 508,377,762,421 is 241884708.

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.

508 x 377 x 762 x 421 = 61438715832

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.

508 : 1, 2, 4, 127, 254, 508

377 : 1, 13, 29, 377

762 : 1, 2, 3, 6, 127, 254, 381, 762

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,377,762,421, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

377:13x 29

762:2x 3x 127

421:421

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

2x 127 = 254

Therefore, the value for common factors is 254.

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 = 61438715832/(1x254)

LCM = 61438715832/254

LCM = 241884708

Thus, we can understand that the LCM of 508,377,762,421 is 241884708.

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

• LCM of 878, 353, 347, 772
• LCM of 861, 358, 985, 346
• LCM of 896, 421, 230, 338
• LCM of 778, 618, 977, 435
• LCM of 802, 196, 434, 347

1. What is the LCM of 508, 377, 762, 421?

Answer: LCM of 508, 377, 762, 421 is 241884708.

2. How to calculate the LCM of 508, 377, 762, 421?

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 508, 377, 762, 421.

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}.