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LCM of 131, 488, 436, 216, 930

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


Find the LCM of 131, 488, 436, 216, 930 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 131, 488, 436, 216, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 131,488,436,216,930

Given numbers are 131,488,436,216,930

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

The LCM of 131,488,436,216,930 is 29161716120.

Find LCM of 131,488,436,216,930 with Prime Factorization


2 131, 488, 436, 216, 930
2 131, 244, 218, 108, 465
2 131, 122, 109, 54, 465
3 131, 61, 109, 27, 465
131, 61, 109, 9, 155

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

2 x 2 x 2 x 3 x 131 x 61 x 109 x 9 x 155 = 29161716120

Therefore, the lowest common multiple of 131,488,436,216,930 is 29161716120.

LCM Formula to Find Lowest Common Multiple of 131,488,436,216,930

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.

131 x 488 x 436 x 216 x 930 = 5599049495040

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.

131 : 1, 131

488 : 1, 2, 4, 8, 61, 122, 244, 488

436 : 1, 2, 4, 109, 218, 436

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,488,436,216,930, is 1.

Now, the common factors can be found like this.

131:131

488:2x 2x 2x 61

436:2x 2x 109

216:2x 2x 2x 3x 3x 3

930:2x 3x 5x 31

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 5599049495040/(1x192)

LCM = 5599049495040/192

LCM = 29161716120

Thus, we can understand that the LCM of 131,488,436,216,930 is 29161716120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 131, 488, 436, 216, 930

1. What is the LCM of 131, 488, 436, 216, 930?

Answer: LCM of 131, 488, 436, 216, 930 is 29161716120.

2. How to calculate the LCM of 131, 488, 436, 216, 930?

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 131, 488, 436, 216, 930.

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}.