LCM of 855, 143, 825, 874, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 143, 825, 874, 995 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 855, 143, 825, 874, 995. So, keep reading to learn more.
Given numbers are 855,143,825,874,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,143,825,874,995 is 5596069050.
Find LCM of 855,143,825,874,995 with Prime Factorization
| 3 | 855, 143, 825, 874, 995 |
| 5 | 285, 143, 275, 874, 995 |
| 11 | 57, 143, 55, 874, 199 |
| 19 | 57, 13, 5, 874, 199 |
| 3, 13, 5, 46, 199 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 19 x 3 x 13 x 5 x 46 x 199 = 5596069050
Therefore, the lowest common multiple of 855,143,825,874,995 is 5596069050.
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.
855 x 143 x 825 x 874 x 995 = 87718382358750
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
143 : 1, 11, 13, 143
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
874 : 1, 2, 19, 23, 38, 46, 437, 874
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,143,825,874,995, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
143:11x 13
825:3x 5x 5x 11
874:2x 19x 23
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11x 19 = 15675
Therefore, the value for common factors is 15675.
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 = 87718382358750/(1x15675)
LCM = 87718382358750/15675
LCM = 5596069050
Thus, we can understand that the LCM of 855,143,825,874,995 is 5596069050.
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FAQs on LCM of 855, 143, 825, 874, 995
1. What is the LCM of 855, 143, 825, 874, 995?
Answer: LCM of 855, 143, 825, 874, 995 is 5596069050.
2. How to calculate the LCM of 855, 143, 825, 874, 995?
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 855, 143, 825, 874, 995.
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}.