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LCM of 931, 988, 173, 522, 148

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


Find the LCM of 931, 988, 173, 522, 148 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 931, 988, 173, 522, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 931,988,173,522,148

Given numbers are 931,988,173,522,148

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

The LCM of 931,988,173,522,148 is 80880040332.

Find LCM of 931,988,173,522,148 with Prime Factorization


2 931, 988, 173, 522, 148
2 931, 494, 173, 261, 74
19 931, 247, 173, 261, 37
49, 13, 173, 261, 37

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

2 x 2 x 19 x 49 x 13 x 173 x 261 x 37 = 80880040332

Therefore, the lowest common multiple of 931,988,173,522,148 is 80880040332.

LCM Formula to Find Lowest Common Multiple of 931,988,173,522,148

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.

931 x 988 x 173 x 522 x 148 = 12293766130464

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.

931 : 1, 7, 19, 49, 133, 931

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

173 : 1, 173

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,988,173,522,148, is 1.

Now, the common factors can be found like this.

931:7x 7x 19

988:2x 2x 13x 19

173:173

522:2x 3x 3x 29

148:2x 2x 37

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 19 = 152

Therefore, the value for common factors is 152.

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 = 12293766130464/(1x152)

LCM = 12293766130464/152

LCM = 80880040332

Thus, we can understand that the LCM of 931,988,173,522,148 is 80880040332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 931, 988, 173, 522, 148

1. What is the LCM of 931, 988, 173, 522, 148?

Answer: LCM of 931, 988, 173, 522, 148 is 80880040332.

2. How to calculate the LCM of 931, 988, 173, 522, 148?

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 931, 988, 173, 522, 148.

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}.