LCM of 278, 513, 242, 315, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 513, 242, 315, 456 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, 513, 242, 315, 456. So, keep reading to learn more.
Given numbers are 278,513,242,315,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,513,242,315,456 is 2415881160.
Find LCM of 278,513,242,315,456 with Prime Factorization
| 2 | 278, 513, 242, 315, 456 |
| 3 | 139, 513, 121, 315, 228 |
| 3 | 139, 171, 121, 105, 76 |
| 19 | 139, 57, 121, 35, 76 |
| 139, 3, 121, 35, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 139 x 3 x 121 x 35 x 4 = 2415881160
Therefore, the lowest common multiple of 278,513,242,315,456 is 2415881160.
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 513 x 242 x 315 x 456 = 4957388140320
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
513 : 1, 3, 9, 19, 27, 57, 171, 513
242 : 1, 2, 11, 22, 121, 242
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,513,242,315,456, is 1.
Now, the common factors can be found like this.
278:2x 139
513:3x 3x 3x 19
242:2x 11x 11
315:3x 3x 5x 7
456:2x 2x 2x 3x 19
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 3x 3x 3x 19 = 2052
Therefore, the value for common factors is 2052.
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 = 4957388140320/(1x2052)
LCM = 4957388140320/2052
LCM = 2415881160
Thus, we can understand that the LCM of 278,513,242,315,456 is 2415881160.
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FAQs on LCM of 278, 513, 242, 315, 456
1. What is the LCM of 278, 513, 242, 315, 456?
Answer: LCM of 278, 513, 242, 315, 456 is 2415881160.
2. How to calculate the LCM of 278, 513, 242, 315, 456?
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, 513, 242, 315, 456.
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}.