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LCM of 115, 990, 598, 494, 688

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 115, 990, 598, 494, 688 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 115, 990, 598, 494, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,990,598,494,688

Given numbers are 115,990,598,494,688

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

The LCM of 115,990,598,494,688 is 1934721360.

Find LCM of 115,990,598,494,688 with Prime Factorization


2 115, 990, 598, 494, 688
5 115, 495, 299, 247, 344
13 23, 99, 299, 247, 344
23 23, 99, 23, 19, 344
1, 99, 1, 19, 344

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

2 x 5 x 13 x 23 x 1 x 99 x 1 x 19 x 344 = 1934721360

Therefore, the lowest common multiple of 115,990,598,494,688 is 1934721360.

LCM Formula to Find Lowest Common Multiple of 115,990,598,494,688

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.

115 x 990 x 598 x 494 x 688 = 23139267465600

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.

115 : 1, 5, 23, 115

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

598 : 1, 2, 13, 23, 26, 46, 299, 598

494 : 1, 2, 13, 19, 26, 38, 247, 494

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,990,598,494,688, is 1.

Now, the common factors can be found like this.

115:5x 23

990:2x 3x 3x 5x 11

598:2x 13x 23

494:2x 13x 19

688:2x 2x 2x 2x 43

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 5x 13x 23 = 11960

Therefore, the value for common factors is 11960.

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 = 23139267465600/(1x11960)

LCM = 23139267465600/11960

LCM = 1934721360

Thus, we can understand that the LCM of 115,990,598,494,688 is 1934721360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 990, 598, 494, 688

1. What is the LCM of 115, 990, 598, 494, 688?

Answer: LCM of 115, 990, 598, 494, 688 is 1934721360.

2. How to calculate the LCM of 115, 990, 598, 494, 688?

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 115, 990, 598, 494, 688.

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}.