Given numbers are 508,142,643,974

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

The LCM of 508,142,643,974 is 11294369588.

Find LCM of 508,142,643,974 with Prime Factorization

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

2 x 254 x 71 x 643 x 487 = 11294369588

Therefore, the lowest common multiple of 508,142,643,974 is 11294369588.

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 142 x 643 x 974 = 45177478352

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

142 : 1, 2, 71, 142

643 : 1, 643

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,142,643,974, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

142:2x 71

643:643

974:2x 487

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 45177478352/(1x4)

LCM = 45177478352/4

LCM = 11294369588

Thus, we can understand that the LCM of 508,142,643,974 is 11294369588.

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

• LCM of 145, 400, 930, 794
• LCM of 765, 879, 726, 767
• LCM of 347, 126, 604, 664
• LCM of 360, 594, 483, 898
• LCM of 948, 424, 170, 306

1. What is the LCM of 508, 142, 643, 974?

Answer: LCM of 508, 142, 643, 974 is 11294369588.

2. How to calculate the LCM of 508, 142, 643, 974?

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, 142, 643, 974.

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}.