LCM of 319, 167, 748, 815, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 167, 748, 815, 489 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 319, 167, 748, 815, 489. So, keep reading to learn more.
Given numbers are 319,167,748,815,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,167,748,815,489 is 8857168980.
Find LCM of 319,167,748,815,489 with Prime Factorization
| 11 | 319, 167, 748, 815, 489 |
| 163 | 29, 167, 68, 815, 489 |
| 29, 167, 68, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
11 x 163 x 29 x 167 x 68 x 5 x 3 = 8857168980
Therefore, the lowest common multiple of 319,167,748,815,489 is 8857168980.
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.
319 x 167 x 748 x 815 x 489 = 15880903981140
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.
319 : 1, 11, 29, 319
167 : 1, 167
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
815 : 1, 5, 163, 815
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,167,748,815,489, is 1.
Now, the common factors can be found like this.
319:11x 29
167:167
748:2x 2x 11x 17
815:5x 163
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 163 = 1793
Therefore, the value for common factors is 1793.
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 = 15880903981140/(1x1793)
LCM = 15880903981140/1793
LCM = 8857168980
Thus, we can understand that the LCM of 319,167,748,815,489 is 8857168980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 167, 748, 815, 489
1. What is the LCM of 319, 167, 748, 815, 489?
Answer: LCM of 319, 167, 748, 815, 489 is 8857168980.
2. How to calculate the LCM of 319, 167, 748, 815, 489?
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 319, 167, 748, 815, 489.
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}.