LCM of 851, 276, 280, 285, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 276, 280, 285, 324 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 851, 276, 280, 285, 324. So, keep reading to learn more.
Given numbers are 851,276,280,285,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,276,280,285,324 is 366712920.
Find LCM of 851,276,280,285,324 with Prime Factorization
| 2 | 851, 276, 280, 285, 324 |
| 2 | 851, 138, 140, 285, 162 |
| 3 | 851, 69, 70, 285, 81 |
| 5 | 851, 23, 70, 95, 27 |
| 23 | 851, 23, 14, 19, 27 |
| 37, 1, 14, 19, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 37 x 1 x 14 x 19 x 27 = 366712920
Therefore, the lowest common multiple of 851,276,280,285,324 is 366712920.
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.
851 x 276 x 280 x 285 x 324 = 6072765955200
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.
851 : 1, 23, 37, 851
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
285 : 1, 3, 5, 15, 19, 57, 95, 285
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,276,280,285,324, is 1.
Now, the common factors can be found like this.
851:23x 37
276:2x 2x 3x 23
280:2x 2x 2x 5x 7
285:3x 5x 19
324:2x 2x 3x 3x 3x 3
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 3x 5x 23 = 16560
Therefore, the value for common factors is 16560.
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 = 6072765955200/(1x16560)
LCM = 6072765955200/16560
LCM = 366712920
Thus, we can understand that the LCM of 851,276,280,285,324 is 366712920.
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FAQs on LCM of 851, 276, 280, 285, 324
1. What is the LCM of 851, 276, 280, 285, 324?
Answer: LCM of 851, 276, 280, 285, 324 is 366712920.
2. How to calculate the LCM of 851, 276, 280, 285, 324?
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 851, 276, 280, 285, 324.
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}.