LCM of 973, 969, 986, 264, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 969, 986, 264, 296 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 973, 969, 986, 264, 296. So, keep reading to learn more.
Given numbers are 973,969,986,264,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,969,986,264,296 is 89026440888.
Find LCM of 973,969,986,264,296 with Prime Factorization
| 2 | 973, 969, 986, 264, 296 |
| 2 | 973, 969, 493, 132, 148 |
| 2 | 973, 969, 493, 66, 74 |
| 3 | 973, 969, 493, 33, 37 |
| 17 | 973, 323, 493, 11, 37 |
| 973, 19, 29, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 973 x 19 x 29 x 11 x 37 = 89026440888
Therefore, the lowest common multiple of 973,969,986,264,296 is 89026440888.
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.
973 x 969 x 986 x 264 x 296 = 72645575764608
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.
973 : 1, 7, 139, 973
969 : 1, 3, 17, 19, 51, 57, 323, 969
986 : 1, 2, 17, 29, 34, 58, 493, 986
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,969,986,264,296, is 1.
Now, the common factors can be found like this.
973:7x 139
969:3x 17x 19
986:2x 17x 29
264:2x 2x 2x 3x 11
296:2x 2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 72645575764608/(1x816)
LCM = 72645575764608/816
LCM = 89026440888
Thus, we can understand that the LCM of 973,969,986,264,296 is 89026440888.
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FAQs on LCM of 973, 969, 986, 264, 296
1. What is the LCM of 973, 969, 986, 264, 296?
Answer: LCM of 973, 969, 986, 264, 296 is 89026440888.
2. How to calculate the LCM of 973, 969, 986, 264, 296?
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 973, 969, 986, 264, 296.
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}.