LCM of 901, 108, 276, 289, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 108, 276, 289, 510 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 901, 108, 276, 289, 510. So, keep reading to learn more.
Given numbers are 901,108,276,289,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,108,276,289,510 is 190237140.
Find LCM of 901,108,276,289,510 with Prime Factorization
| 2 | 901, 108, 276, 289, 510 |
| 2 | 901, 54, 138, 289, 255 |
| 3 | 901, 27, 69, 289, 255 |
| 17 | 901, 9, 23, 289, 85 |
| 53, 9, 23, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 53 x 9 x 23 x 17 x 5 = 190237140
Therefore, the lowest common multiple of 901,108,276,289,510 is 190237140.
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.
901 x 108 x 276 x 289 x 510 = 3958454409120
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.
901 : 1, 17, 53, 901
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
289 : 1, 17, 289
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,108,276,289,510, is 1.
Now, the common factors can be found like this.
901:17x 53
108:2x 2x 3x 3x 3
276:2x 2x 3x 23
289:17x 17
510:2x 3x 5x 17
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 3x 3x 17x 17 = 20808
Therefore, the value for common factors is 20808.
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 = 3958454409120/(1x20808)
LCM = 3958454409120/20808
LCM = 190237140
Thus, we can understand that the LCM of 901,108,276,289,510 is 190237140.
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FAQs on LCM of 901, 108, 276, 289, 510
1. What is the LCM of 901, 108, 276, 289, 510?
Answer: LCM of 901, 108, 276, 289, 510 is 190237140.
2. How to calculate the LCM of 901, 108, 276, 289, 510?
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 901, 108, 276, 289, 510.
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}.