LCM of 137, 489, 705, 495, 173
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 489, 705, 495, 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 137, 489, 705, 495, 173. So, keep reading to learn more.
Given numbers are 137,489,705,495,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,489,705,495,173 is 89878813695.
Find LCM of 137,489,705,495,173 with Prime Factorization
| 3 | 137, 489, 705, 495, 173 |
| 5 | 137, 163, 235, 165, 173 |
| 137, 163, 47, 33, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 137 x 163 x 47 x 33 x 173 = 89878813695
Therefore, the lowest common multiple of 137,489,705,495,173 is 89878813695.
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.
137 x 489 x 705 x 495 x 173 = 4044546616275
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.
137 : 1, 137
489 : 1, 3, 163, 489
705 : 1, 3, 5, 15, 47, 141, 235, 705
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,489,705,495,173, is 1.
Now, the common factors can be found like this.
137:137
489:3x 163
705:3x 5x 47
495:3x 3x 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.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 4044546616275/(1x45)
LCM = 4044546616275/45
LCM = 89878813695
Thus, we can understand that the LCM of 137,489,705,495,173 is 89878813695.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 137, 489, 705, 495, 173
1. What is the LCM of 137, 489, 705, 495, 173?
Answer: LCM of 137, 489, 705, 495, 173 is 89878813695.
2. How to calculate the LCM of 137, 489, 705, 495, 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 137, 489, 705, 495, 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}.