Given numbers are 914,362,379,974

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

The LCM of 914,362,379,974 is 30534649682.

Find LCM of 914,362,379,974 with Prime Factorization

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

2 x 457 x 181 x 379 x 487 = 30534649682

Therefore, the lowest common multiple of 914,362,379,974 is 30534649682.

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.

914 x 362 x 379 x 974 = 122138598728

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.

914 : 1, 2, 457, 914

362 : 1, 2, 181, 362

379 : 1, 379

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,362,379,974, is 1.

Now, the common factors can be found like this.

914:2x 457

362:2x 181

379:379

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 = 122138598728/(1x4)

LCM = 122138598728/4

LCM = 30534649682

Thus, we can understand that the LCM of 914,362,379,974 is 30534649682.

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

• LCM of 537, 776, 441, 119
• LCM of 556, 343, 979, 942
• LCM of 344, 716, 825, 860
• LCM of 496, 979, 279, 822
• LCM of 387, 221, 834, 376

1. What is the LCM of 914, 362, 379, 974?

Answer: LCM of 914, 362, 379, 974 is 30534649682.

2. How to calculate the LCM of 914, 362, 379, 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 914, 362, 379, 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}.