LCM of 899, 859, 859, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 859, 859, 765 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 899, 859, 859, 765. So, keep reading to learn more.
Given numbers are 899,859,859,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,859,859,765 is 590764365.
Find LCM of 899,859,859,765 with Prime Factorization
| 859 | 899, 859, 859, 765 |
| 899, 1, 1, 765 |
Multiply the prime numbers at the bottom and the left side.
859 x 899 x 1 x 1 x 765 = 590764365
Therefore, the lowest common multiple of 899,859,859,765 is 590764365.
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.
899 x 859 x 859 x 765 = 507466589535
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.
899 : 1, 29, 31, 899
859 : 1, 859
859 : 1, 859
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,859,859,765, is 1.
Now, the common factors can be found like this.
899:29x 31
859:859
859:859
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
859 = 859
Therefore, the value for common factors is 859.
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 = 507466589535/(1x859)
LCM = 507466589535/859
LCM = 590764365
Thus, we can understand that the LCM of 899,859,859,765 is 590764365.
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FAQs on LCM of 899, 859, 859, 765
1. What is the LCM of 899, 859, 859, 765?
Answer: LCM of 899, 859, 859, 765 is 590764365.
2. How to calculate the LCM of 899, 859, 859, 765?
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 899, 859, 859, 765.
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}.