Given numbers are 554,581,748,14

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

The LCM of 554,581,748,14 is 120380876.

Find LCM of 554,581,748,14 with Prime Factorization

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

2 x 7 x 277 x 83 x 374 x 1 = 120380876

Therefore, the lowest common multiple of 554,581,748,14 is 120380876.

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.

554 x 581 x 748 x 14 = 3370664528

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.

554 : 1, 2, 277, 554

581 : 1, 7, 83, 581

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

14 : 1, 2, 7, 14

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,581,748,14, is 1.

Now, the common factors can be found like this.

554:2x 277

581:7x 83

748:2x 2x 11x 17

14:2x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 3370664528/(1x28)

LCM = 3370664528/28

LCM = 120380876

Thus, we can understand that the LCM of 554,581,748,14 is 120380876.

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

• LCM of 626, 138, 949, 43
• LCM of 765, 521, 807, 51
• LCM of 663, 817, 283, 59
• LCM of 963, 341, 515, 59
• LCM of 370, 522, 494, 11

1. What is the LCM of 554, 581, 748, 14?

Answer: LCM of 554, 581, 748, 14 is 120380876.

2. How to calculate the LCM of 554, 581, 748, 14?

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 554, 581, 748, 14.

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}.