LCM of 931, 251, 363, 899, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 251, 363, 899, 969 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 931, 251, 363, 899, 969. So, keep reading to learn more.
Given numbers are 931,251,363,899,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,251,363,899,969 is 1296398860449.
Find LCM of 931,251,363,899,969 with Prime Factorization
| 3 | 931, 251, 363, 899, 969 |
| 19 | 931, 251, 121, 899, 323 |
| 49, 251, 121, 899, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 49 x 251 x 121 x 899 x 17 = 1296398860449
Therefore, the lowest common multiple of 931,251,363,899,969 is 1296398860449.
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.
931 x 251 x 363 x 899 x 969 = 73894735045593
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.
931 : 1, 7, 19, 49, 133, 931
251 : 1, 251
363 : 1, 3, 11, 33, 121, 363
899 : 1, 29, 31, 899
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,251,363,899,969, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
251:251
363:3x 11x 11
899:29x 31
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 73894735045593/(1x57)
LCM = 73894735045593/57
LCM = 1296398860449
Thus, we can understand that the LCM of 931,251,363,899,969 is 1296398860449.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 931, 251, 363, 899, 969
1. What is the LCM of 931, 251, 363, 899, 969?
Answer: LCM of 931, 251, 363, 899, 969 is 1296398860449.
2. How to calculate the LCM of 931, 251, 363, 899, 969?
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 931, 251, 363, 899, 969.
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}.