Given numbers are 842,588,110,522,114

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

The LCM of 842,588,110,522,114 is 22505826420.

Find LCM of 842,588,110,522,114 with Prime Factorization

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

2 x 3 x 421 x 98 x 55 x 87 x 19 = 22505826420

Therefore, the lowest common multiple of 842,588,110,522,114 is 22505826420.

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.

842 x 588 x 110 x 522 x 114 = 3240839004480

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.

842 : 1, 2, 421, 842

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

110 : 1, 2, 5, 10, 11, 22, 55, 110

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

114 : 1, 2, 3, 6, 19, 38, 57, 114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,588,110,522,114, is 2.

Now, the common factors can be found like this.

842:2x 421

588:2x 2x 3x 7x 7

110:2x 5x 11

522:2x 3x 3x 29

114:2x 3x 19

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 3240839004480/(2x72)

LCM = 3240839004480/144

LCM = 22505826420

Thus, we can understand that the LCM of 842,588,110,522,114 is 22505826420.

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

• LCM of 346, 778, 712, 283, 864
• LCM of 918, 441, 497, 451, 268
• LCM of 948, 990, 946, 291, 855
• LCM of 273, 574, 516, 776, 723
• LCM of 282, 968, 888, 286, 109

1. What is the LCM of 842, 588, 110, 522, 114?

Answer: LCM of 842, 588, 110, 522, 114 is 22505826420.

2. How to calculate the LCM of 842, 588, 110, 522, 114?

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 842, 588, 110, 522, 114.

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}.