Given numbers are 426,876,388,603,630

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

The LCM of 426,876,388,603,630 is 42442239420.

Find LCM of 426,876,388,603,630 with Prime Factorization

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

2 x 2 x 3 x 3 x 71 x 73 x 97 x 67 x 35 = 42442239420

Therefore, the lowest common multiple of 426,876,388,603,630 is 42442239420.

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.

426 x 876 x 388 x 603 x 630 = 55005142288320

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

388 : 1, 2, 4, 97, 194, 388

603 : 1, 3, 9, 67, 201, 603

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,876,388,603,630, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

876:2x 2x 3x 73

388:2x 2x 97

603:3x 3x 67

630:2x 3x 3x 5x 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 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 55005142288320/(1x1296)

LCM = 55005142288320/1296

LCM = 42442239420

Thus, we can understand that the LCM of 426,876,388,603,630 is 42442239420.

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

• LCM of 565, 253, 307, 509, 962
• LCM of 515, 629, 418, 146, 651
• LCM of 257, 893, 173, 669, 310
• LCM of 692, 720, 522, 170, 379
• LCM of 297, 449, 521, 512, 343

1. What is the LCM of 426, 876, 388, 603, 630?

Answer: LCM of 426, 876, 388, 603, 630 is 42442239420.

2. How to calculate the LCM of 426, 876, 388, 603, 630?

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 426, 876, 388, 603, 630.

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}.