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LCM of 514, 118, 826, 788, 159

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


Find the LCM of 514, 118, 826, 788, 159 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 514, 118, 826, 788, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,118,826,788,159

Given numbers are 514,118,826,788,159

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

The LCM of 514,118,826,788,159 is 13298618172.

Find LCM of 514,118,826,788,159 with Prime Factorization


2 514, 118, 826, 788, 159
59 257, 59, 413, 394, 159
257, 1, 7, 394, 159

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

2 x 59 x 257 x 1 x 7 x 394 x 159 = 13298618172

Therefore, the lowest common multiple of 514,118,826,788,159 is 13298618172.

LCM Formula to Find Lowest Common Multiple of 514,118,826,788,159

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.

514 x 118 x 826 x 788 x 159 = 6276947777184

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.

514 : 1, 2, 257, 514

118 : 1, 2, 59, 118

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

788 : 1, 2, 4, 197, 394, 788

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,118,826,788,159, is 1.

Now, the common factors can be found like this.

514:2x 257

118:2x 59

826:2x 7x 59

788:2x 2x 197

159:3x 53

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 59 = 472

Therefore, the value for common factors is 472.

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 = 6276947777184/(1x472)

LCM = 6276947777184/472

LCM = 13298618172

Thus, we can understand that the LCM of 514,118,826,788,159 is 13298618172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 118, 826, 788, 159

1. What is the LCM of 514, 118, 826, 788, 159?

Answer: LCM of 514, 118, 826, 788, 159 is 13298618172.

2. How to calculate the LCM of 514, 118, 826, 788, 159?

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 514, 118, 826, 788, 159.

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}.