Given numbers are 813,174,104,144,754

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

The LCM of 813,174,104,144,754 is 14712048.

Find LCM of 813,174,104,144,754 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 29 x 271 x 1 x 1 x 6 x 1 = 14712048

Therefore, the lowest common multiple of 813,174,104,144,754 is 14712048.

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.

813 x 174 x 104 x 144 x 754 = 1597375323648

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.

813 : 1, 3, 271, 813

174 : 1, 2, 3, 6, 29, 58, 87, 174

104 : 1, 2, 4, 8, 13, 26, 52, 104

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,174,104,144,754, is 1.

Now, the common factors can be found like this.

813:3x 271

174:2x 3x 29

104:2x 2x 2x 13

144:2x 2x 2x 2x 3x 3

754:2x 13x 29

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 2x 3x 3x 13x 29 = 108576

Therefore, the value for common factors is 108576.

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 = 1597375323648/(1x108576)

LCM = 1597375323648/108576

LCM = 14712048

Thus, we can understand that the LCM of 813,174,104,144,754 is 14712048.

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

• LCM of 369, 288, 969, 182, 540
• LCM of 107, 197, 543, 901, 816
• LCM of 840, 956, 418, 780, 835
• LCM of 799, 693, 817, 989, 582
• LCM of 962, 650, 427, 912, 933

1. What is the LCM of 813, 174, 104, 144, 754?

Answer: LCM of 813, 174, 104, 144, 754 is 14712048.

2. How to calculate the LCM of 813, 174, 104, 144, 754?

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 813, 174, 104, 144, 754.

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}.