LCM of 988, 312, 969, 313, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 312, 969, 313, 265 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 988, 312, 969, 313, 265. So, keep reading to learn more.
Given numbers are 988,312,969,313,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,312,969,313,265 is 8358865320.
Find LCM of 988,312,969,313,265 with Prime Factorization
| 2 | 988, 312, 969, 313, 265 |
| 2 | 494, 156, 969, 313, 265 |
| 3 | 247, 78, 969, 313, 265 |
| 13 | 247, 26, 323, 313, 265 |
| 19 | 19, 2, 323, 313, 265 |
| 1, 2, 17, 313, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 1 x 2 x 17 x 313 x 265 = 8358865320
Therefore, the lowest common multiple of 988,312,969,313,265 is 8358865320.
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.
988 x 312 x 969 x 313 x 265 = 24775676808480
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
969 : 1, 3, 17, 19, 51, 57, 323, 969
313 : 1, 313
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,312,969,313,265, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
312:2x 2x 2x 3x 13
969:3x 17x 19
313:313
265:5x 53
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 3x 13x 19 = 2964
Therefore, the value for common factors is 2964.
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 = 24775676808480/(1x2964)
LCM = 24775676808480/2964
LCM = 8358865320
Thus, we can understand that the LCM of 988,312,969,313,265 is 8358865320.
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FAQs on LCM of 988, 312, 969, 313, 265
1. What is the LCM of 988, 312, 969, 313, 265?
Answer: LCM of 988, 312, 969, 313, 265 is 8358865320.
2. How to calculate the LCM of 988, 312, 969, 313, 265?
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 988, 312, 969, 313, 265.
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}.