LCM of 891, 346, 645, 765, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 346, 645, 765, 879 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 891, 346, 645, 765, 879. So, keep reading to learn more.
Given numbers are 891,346,645,765,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,346,645,765,879 is 330148101690.
Find LCM of 891,346,645,765,879 with Prime Factorization
| 3 | 891, 346, 645, 765, 879 |
| 3 | 297, 346, 215, 255, 293 |
| 5 | 99, 346, 215, 85, 293 |
| 99, 346, 43, 17, 293 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 99 x 346 x 43 x 17 x 293 = 330148101690
Therefore, the lowest common multiple of 891,346,645,765,879 is 330148101690.
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.
891 x 346 x 645 x 765 x 879 = 133709981184450
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
346 : 1, 2, 173, 346
645 : 1, 3, 5, 15, 43, 129, 215, 645
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,346,645,765,879, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
346:2x 173
645:3x 5x 43
765:3x 3x 5x 17
879:3x 293
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 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 133709981184450/(1x405)
LCM = 133709981184450/405
LCM = 330148101690
Thus, we can understand that the LCM of 891,346,645,765,879 is 330148101690.
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FAQs on LCM of 891, 346, 645, 765, 879
1. What is the LCM of 891, 346, 645, 765, 879?
Answer: LCM of 891, 346, 645, 765, 879 is 330148101690.
2. How to calculate the LCM of 891, 346, 645, 765, 879?
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 891, 346, 645, 765, 879.
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}.