LCM of 715, 867, 226, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 867, 226, 981 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 715, 867, 226, 981. So, keep reading to learn more.
Given numbers are 715,867,226,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,867,226,981 is 45812219310.
Find LCM of 715,867,226,981 with Prime Factorization
| 3 | 715, 867, 226, 981 |
| 715, 289, 226, 327 |
Multiply the prime numbers at the bottom and the left side.
3 x 715 x 289 x 226 x 327 = 45812219310
Therefore, the lowest common multiple of 715,867,226,981 is 45812219310.
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.
715 x 867 x 226 x 981 = 137436657930
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
867 : 1, 3, 17, 51, 289, 867
226 : 1, 2, 113, 226
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,867,226,981, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
867:3x 17x 17
226:2x 113
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 137436657930/(1x3)
LCM = 137436657930/3
LCM = 45812219310
Thus, we can understand that the LCM of 715,867,226,981 is 45812219310.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 715, 867, 226, 981
1. What is the LCM of 715, 867, 226, 981?
Answer: LCM of 715, 867, 226, 981 is 45812219310.
2. How to calculate the LCM of 715, 867, 226, 981?
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 715, 867, 226, 981.
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}.