LCM of 279, 459, 476, 225, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 459, 476, 225, 961 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 279, 459, 476, 225, 961. So, keep reading to learn more.
Given numbers are 279,459,476,225,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,459,476,225,961 is 308769300.
Find LCM of 279,459,476,225,961 with Prime Factorization
| 3 | 279, 459, 476, 225, 961 |
| 3 | 93, 153, 476, 75, 961 |
| 17 | 31, 51, 476, 25, 961 |
| 31 | 31, 3, 28, 25, 961 |
| 1, 3, 28, 25, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 31 x 1 x 3 x 28 x 25 x 31 = 308769300
Therefore, the lowest common multiple of 279,459,476,225,961 is 308769300.
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.
279 x 459 x 476 x 225 x 961 = 13180435109100
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.
279 : 1, 3, 9, 31, 93, 279
459 : 1, 3, 9, 17, 27, 51, 153, 459
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,459,476,225,961, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
459:3x 3x 3x 17
476:2x 2x 7x 17
225:3x 3x 5x 5
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 17x 31 = 42687
Therefore, the value for common factors is 42687.
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 = 13180435109100/(1x42687)
LCM = 13180435109100/42687
LCM = 308769300
Thus, we can understand that the LCM of 279,459,476,225,961 is 308769300.
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FAQs on LCM of 279, 459, 476, 225, 961
1. What is the LCM of 279, 459, 476, 225, 961?
Answer: LCM of 279, 459, 476, 225, 961 is 308769300.
2. How to calculate the LCM of 279, 459, 476, 225, 961?
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 279, 459, 476, 225, 961.
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}.