Given numbers are 378,103,406,374,112

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

The LCM of 378,103,406,374,112 is 1689112656.

Find LCM of 378,103,406,374,112 with Prime Factorization

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

2 x 7 x 27 x 103 x 29 x 187 x 8 = 1689112656

Therefore, the lowest common multiple of 378,103,406,374,112 is 1689112656.

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.

378 x 103 x 406 x 374 x 112 = 662132161152

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

103 : 1, 103

406 : 1, 2, 7, 14, 29, 58, 203, 406

374 : 1, 2, 11, 17, 22, 34, 187, 374

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,103,406,374,112, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

103:103

406:2x 7x 29

374:2x 11x 17

112:2x 2x 2x 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 2x 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 662132161152/(1x392)

LCM = 662132161152/392

LCM = 1689112656

Thus, we can understand that the LCM of 378,103,406,374,112 is 1689112656.

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

• LCM of 904, 358, 697, 216, 688
• LCM of 121, 468, 730, 255, 716
• LCM of 134, 717, 245, 293, 370
• LCM of 818, 612, 942, 320, 352
• LCM of 398, 899, 998, 315, 897

1. What is the LCM of 378, 103, 406, 374, 112?

Answer: LCM of 378, 103, 406, 374, 112 is 1689112656.

2. How to calculate the LCM of 378, 103, 406, 374, 112?

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 378, 103, 406, 374, 112.

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}.