LCM of 853, 874, 133, 713, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 874, 133, 713, 989 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 853, 874, 133, 713, 989. So, keep reading to learn more.
Given numbers are 853,874,133,713,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,874,133,713,989 is 6956465782.
Find LCM of 853,874,133,713,989 with Prime Factorization
| 19 | 853, 874, 133, 713, 989 |
| 23 | 853, 46, 7, 713, 989 |
| 853, 2, 7, 31, 43 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 853 x 2 x 7 x 31 x 43 = 6956465782
Therefore, the lowest common multiple of 853,874,133,713,989 is 6956465782.
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.
853 x 874 x 133 x 713 x 989 = 69919437574882
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.
853 : 1, 853
874 : 1, 2, 19, 23, 38, 46, 437, 874
133 : 1, 7, 19, 133
713 : 1, 23, 31, 713
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,874,133,713,989, is 1.
Now, the common factors can be found like this.
853:853
874:2x 19x 23
133:7x 19
713:23x 31
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 23x 23 = 10051
Therefore, the value for common factors is 10051.
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 = 69919437574882/(1x10051)
LCM = 69919437574882/10051
LCM = 6956465782
Thus, we can understand that the LCM of 853,874,133,713,989 is 6956465782.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 853, 874, 133, 713, 989
1. What is the LCM of 853, 874, 133, 713, 989?
Answer: LCM of 853, 874, 133, 713, 989 is 6956465782.
2. How to calculate the LCM of 853, 874, 133, 713, 989?
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 853, 874, 133, 713, 989.
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}.