LCM of 930, 675, 175, 110, 173
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 675, 175, 110, 173 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 930, 675, 175, 110, 173. So, keep reading to learn more.
Given numbers are 930,675,175,110,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,675,175,110,173 is 557483850.
Find LCM of 930,675,175,110,173 with Prime Factorization
| 2 | 930, 675, 175, 110, 173 |
| 3 | 465, 675, 175, 55, 173 |
| 5 | 155, 225, 175, 55, 173 |
| 5 | 31, 45, 35, 11, 173 |
| 31, 9, 7, 11, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 31 x 9 x 7 x 11 x 173 = 557483850
Therefore, the lowest common multiple of 930,675,175,110,173 is 557483850.
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.
930 x 675 x 175 x 110 x 173 = 2090564437500
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
175 : 1, 5, 7, 25, 35, 175
110 : 1, 2, 5, 10, 11, 22, 55, 110
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,675,175,110,173, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
675:3x 3x 3x 5x 5
175:5x 5x 7
110:2x 5x 11
173:173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 5 = 3750
Therefore, the value for common factors is 3750.
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 = 2090564437500/(1x3750)
LCM = 2090564437500/3750
LCM = 557483850
Thus, we can understand that the LCM of 930,675,175,110,173 is 557483850.
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FAQs on LCM of 930, 675, 175, 110, 173
1. What is the LCM of 930, 675, 175, 110, 173?
Answer: LCM of 930, 675, 175, 110, 173 is 557483850.
2. How to calculate the LCM of 930, 675, 175, 110, 173?
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 930, 675, 175, 110, 173.
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}.