LCM of 278, 264, 352, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 264, 352, 504 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, 264, 352, 504. So, keep reading to learn more.
Given numbers are 278,264,352,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,264,352,504 is 3082464.
Find LCM of 278,264,352,504 with Prime Factorization
| 2 | 278, 264, 352, 504 |
| 2 | 139, 132, 176, 252 |
| 2 | 139, 66, 88, 126 |
| 3 | 139, 33, 44, 63 |
| 11 | 139, 11, 44, 21 |
| 139, 1, 4, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 139 x 1 x 4 x 21 = 3082464
Therefore, the lowest common multiple of 278,264,352,504 is 3082464.
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 264 x 352 x 504 = 13020327936
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
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,264,352,504, is 2.
Now, the common factors can be found like this.
278:2x 139
264:2x 2x 2x 3x 11
352:2x 2x 2x 2x 2x 11
504:2x 2x 2x 3x 3x 7
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 2x 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 13020327936/(2x2112)
LCM = 13020327936/4224
LCM = 3082464
Thus, we can understand that the LCM of 278,264,352,504 is 3082464.
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FAQs on LCM of 278, 264, 352, 504
1. What is the LCM of 278, 264, 352, 504?
Answer: LCM of 278, 264, 352, 504 is 3082464.
2. How to calculate the LCM of 278, 264, 352, 504?
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, 264, 352, 504.
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}.