Given numbers are 144,623,313,632,802

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

The LCM of 144,623,313,632,802 is 889541758224.

Find LCM of 144,623,313,632,802 with Prime Factorization

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

2 x 2 x 2 x 18 x 623 x 313 x 79 x 401 = 889541758224

Therefore, the lowest common multiple of 144,623,313,632,802 is 889541758224.

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.

144 x 623 x 313 x 632 x 802 = 14232668131584

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.

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

623 : 1, 7, 89, 623

313 : 1, 313

632 : 1, 2, 4, 8, 79, 158, 316, 632

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,623,313,632,802, is 1.

Now, the common factors can be found like this.

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

623:7x 89

313:313

632:2x 2x 2x 79

802:2x 401

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14232668131584/(1x16)

LCM = 14232668131584/16

LCM = 889541758224

Thus, we can understand that the LCM of 144,623,313,632,802 is 889541758224.

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

• LCM of 829, 591, 962, 857, 129
• LCM of 930, 903, 168, 685, 116
• LCM of 362, 324, 921, 724, 975
• LCM of 916, 508, 196, 679, 639
• LCM of 385, 636, 591, 915, 745

1. What is the LCM of 144, 623, 313, 632, 802?

Answer: LCM of 144, 623, 313, 632, 802 is 889541758224.

2. How to calculate the LCM of 144, 623, 313, 632, 802?

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 144, 623, 313, 632, 802.

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}.