LCM of 278, 295, 576, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 295, 576, 460 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 278, 295, 576, 460. So, keep reading to learn more.
Given numbers are 278,295,576,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,295,576,460 is 543234240.
Find LCM of 278,295,576,460 with Prime Factorization
| 2 | 278, 295, 576, 460 |
| 2 | 139, 295, 288, 230 |
| 5 | 139, 295, 144, 115 |
| 139, 59, 144, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 139 x 59 x 144 x 23 = 543234240
Therefore, the lowest common multiple of 278,295,576,460 is 543234240.
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.
278 x 295 x 576 x 460 = 21729369600
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.
278 : 1, 2, 139, 278
295 : 1, 5, 59, 295
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,295,576,460, is 1.
Now, the common factors can be found like this.
278:2x 139
295:5x 59
576:2x 2x 2x 2x 2x 2x 3x 3
460:2x 2x 5x 23
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 5 = 40
Therefore, the value for common factors is 40.
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 = 21729369600/(1x40)
LCM = 21729369600/40
LCM = 543234240
Thus, we can understand that the LCM of 278,295,576,460 is 543234240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 295, 576, 460
1. What is the LCM of 278, 295, 576, 460?
Answer: LCM of 278, 295, 576, 460 is 543234240.
2. How to calculate the LCM of 278, 295, 576, 460?
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 278, 295, 576, 460.
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}.