LCM of 270, 748, 684, 248, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 748, 684, 248, 818 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 270, 748, 684, 248, 818. So, keep reading to learn more.
Given numbers are 270,748,684,248,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,748,684,248,818 is 48652365960.
Find LCM of 270,748,684,248,818 with Prime Factorization
| 2 | 270, 748, 684, 248, 818 |
| 2 | 135, 374, 342, 124, 409 |
| 3 | 135, 187, 171, 62, 409 |
| 3 | 45, 187, 57, 62, 409 |
| 15, 187, 19, 62, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 15 x 187 x 19 x 62 x 409 = 48652365960
Therefore, the lowest common multiple of 270,748,684,248,818 is 48652365960.
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.
270 x 748 x 684 x 248 x 818 = 28023762792960
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
248 : 1, 2, 4, 8, 31, 62, 124, 248
818 : 1, 2, 409, 818
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,748,684,248,818, is 2.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
748:2x 2x 11x 17
684:2x 2x 3x 3x 19
248:2x 2x 2x 31
818:2x 409
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 28023762792960/(2x288)
LCM = 28023762792960/576
LCM = 48652365960
Thus, we can understand that the LCM of 270,748,684,248,818 is 48652365960.
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FAQs on LCM of 270, 748, 684, 248, 818
1. What is the LCM of 270, 748, 684, 248, 818?
Answer: LCM of 270, 748, 684, 248, 818 is 48652365960.
2. How to calculate the LCM of 270, 748, 684, 248, 818?
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 270, 748, 684, 248, 818.
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}.