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LCM of 515, 206, 124, 161

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


Find the LCM of 515, 206, 124, 161 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 515, 206, 124, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,206,124,161

Given numbers are 515,206,124,161

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

The LCM of 515,206,124,161 is 10281460.

Find LCM of 515,206,124,161 with Prime Factorization


2 515, 206, 124, 161
103 515, 103, 62, 161
5, 1, 62, 161

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

2 x 103 x 5 x 1 x 62 x 161 = 10281460

Therefore, the lowest common multiple of 515,206,124,161 is 10281460.

LCM Formula to Find Lowest Common Multiple of 515,206,124,161

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.

515 x 206 x 124 x 161 = 2117980760

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.

515 : 1, 5, 103, 515

206 : 1, 2, 103, 206

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

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,206,124,161, is 1.

Now, the common factors can be found like this.

515:5x 103

206:2x 103

124:2x 2x 31

161:7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 2117980760/(1x206)

LCM = 2117980760/206

LCM = 10281460

Thus, we can understand that the LCM of 515,206,124,161 is 10281460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 206, 124, 161

1. What is the LCM of 515, 206, 124, 161?

Answer: LCM of 515, 206, 124, 161 is 10281460.

2. How to calculate the LCM of 515, 206, 124, 161?

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 515, 206, 124, 161.

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}.