Given numbers are 554,689,678,417

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

The LCM of 554,689,678,417 is 17986368426.

Find LCM of 554,689,678,417 with Prime Factorization

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

2 x 3 x 277 x 689 x 113 x 139 = 17986368426

Therefore, the lowest common multiple of 554,689,678,417 is 17986368426.

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 689 x 678 x 417 = 107918210556

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

689 : 1, 13, 53, 689

678 : 1, 2, 3, 6, 113, 226, 339, 678

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,689,678,417, is 1.

Now, the common factors can be found like this.

554:2x 277

689:13x 53

678:2x 3x 113

417:3x 139

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 107918210556/(1x6)

LCM = 107918210556/6

LCM = 17986368426

Thus, we can understand that the LCM of 554,689,678,417 is 17986368426.

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

• LCM of 644, 460, 531, 141
• LCM of 272, 479, 346, 600
• LCM of 884, 734, 216, 923
• LCM of 961, 129, 220, 597
• LCM of 897, 260, 968, 438

1. What is the LCM of 554, 689, 678, 417?

Answer: LCM of 554, 689, 678, 417 is 17986368426.

2. How to calculate the LCM of 554, 689, 678, 417?

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, 689, 678, 417.

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}.