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LCM of 551, 104, 559, 732

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


Find the LCM of 551, 104, 559, 732 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 551, 104, 559, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,104,559,732

Given numbers are 551,104,559,732

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

The LCM of 551,104,559,732 is 450925176.

Find LCM of 551,104,559,732 with Prime Factorization


2 551, 104, 559, 732
2 551, 52, 559, 366
13 551, 26, 559, 183
551, 2, 43, 183

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

2 x 2 x 13 x 551 x 2 x 43 x 183 = 450925176

Therefore, the lowest common multiple of 551,104,559,732 is 450925176.

LCM Formula to Find Lowest Common Multiple of 551,104,559,732

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.

551 x 104 x 559 x 732 = 23448109152

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.

551 : 1, 19, 29, 551

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

559 : 1, 13, 43, 559

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,104,559,732, is 1.

Now, the common factors can be found like this.

551:19x 29

104:2x 2x 2x 13

559:13x 43

732:2x 2x 3x 61

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 13 = 52

Therefore, the value for common factors is 52.

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 = 23448109152/(1x52)

LCM = 23448109152/52

LCM = 450925176

Thus, we can understand that the LCM of 551,104,559,732 is 450925176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 104, 559, 732

1. What is the LCM of 551, 104, 559, 732?

Answer: LCM of 551, 104, 559, 732 is 450925176.

2. How to calculate the LCM of 551, 104, 559, 732?

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 551, 104, 559, 732.

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}.