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LCM of 551, 218, 124, 177, 826

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


Find the LCM of 551, 218, 124, 177, 826 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, 218, 124, 177, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,218,124,177,826

Given numbers are 551,218,124,177,826

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

The LCM of 551,218,124,177,826 is 9227224524.

Find LCM of 551,218,124,177,826 with Prime Factorization


2 551, 218, 124, 177, 826
59 551, 109, 62, 177, 413
551, 109, 62, 3, 7

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

2 x 59 x 551 x 109 x 62 x 3 x 7 = 9227224524

Therefore, the lowest common multiple of 551,218,124,177,826 is 9227224524.

LCM Formula to Find Lowest Common Multiple of 551,218,124,177,826

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 218 x 124 x 177 x 826 = 2177624987664

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

218 : 1, 2, 109, 218

124 : 1, 2, 4, 31, 62, 124

177 : 1, 3, 59, 177

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,218,124,177,826, is 1.

Now, the common factors can be found like this.

551:19x 29

218:2x 109

124:2x 2x 31

177:3x 59

826:2x 7x 59

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 59 = 236

Therefore, the value for common factors is 236.

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 = 2177624987664/(1x236)

LCM = 2177624987664/236

LCM = 9227224524

Thus, we can understand that the LCM of 551,218,124,177,826 is 9227224524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 218, 124, 177, 826

1. What is the LCM of 551, 218, 124, 177, 826?

Answer: LCM of 551, 218, 124, 177, 826 is 9227224524.

2. How to calculate the LCM of 551, 218, 124, 177, 826?

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, 218, 124, 177, 826.

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}.