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LCM of 104, 551, 580, 988

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


Find the LCM of 104, 551, 580, 988 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 104, 551, 580, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,551,580,988

Given numbers are 104,551,580,988

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

The LCM of 104,551,580,988 is 286520.

Find LCM of 104,551,580,988 with Prime Factorization


2 104, 551, 580, 988
2 52, 551, 290, 494
13 26, 551, 145, 247
19 2, 551, 145, 19
29 2, 29, 145, 1
2, 1, 5, 1

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

2 x 2 x 13 x 19 x 29 x 2 x 1 x 5 x 1 = 286520

Therefore, the lowest common multiple of 104,551,580,988 is 286520.

LCM Formula to Find Lowest Common Multiple of 104,551,580,988

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.

104 x 551 x 580 x 988 = 32837484160

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.

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

551 : 1, 19, 29, 551

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,551,580,988, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

551:19x 29

580:2x 2x 5x 29

988:2x 2x 13x 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 2x 13x 19x 29 = 114608

Therefore, the value for common factors is 114608.

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 = 32837484160/(1x114608)

LCM = 32837484160/114608

LCM = 286520

Thus, we can understand that the LCM of 104,551,580,988 is 286520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 551, 580, 988

1. What is the LCM of 104, 551, 580, 988?

Answer: LCM of 104, 551, 580, 988 is 286520.

2. How to calculate the LCM of 104, 551, 580, 988?

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 104, 551, 580, 988.

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}.