LCM of 668, 663, 228, 398, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 663, 228, 398, 276 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 668, 663, 228, 398, 276. So, keep reading to learn more.
Given numbers are 668,663,228,398,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,663,228,398,276 is 38514521292.
Find LCM of 668,663,228,398,276 with Prime Factorization
| 2 | 668, 663, 228, 398, 276 |
| 2 | 334, 663, 114, 199, 138 |
| 3 | 167, 663, 57, 199, 69 |
| 167, 221, 19, 199, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 167 x 221 x 19 x 199 x 23 = 38514521292
Therefore, the lowest common multiple of 668,663,228,398,276 is 38514521292.
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.
668 x 663 x 228 x 398 x 276 = 11092182132096
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.
668 : 1, 2, 4, 167, 334, 668
663 : 1, 3, 13, 17, 39, 51, 221, 663
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
398 : 1, 2, 199, 398
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,663,228,398,276, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
663:3x 13x 17
228:2x 2x 3x 19
398:2x 199
276:2x 2x 3x 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 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 = 11092182132096/(1x288)
LCM = 11092182132096/288
LCM = 38514521292
Thus, we can understand that the LCM of 668,663,228,398,276 is 38514521292.
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FAQs on LCM of 668, 663, 228, 398, 276
1. What is the LCM of 668, 663, 228, 398, 276?
Answer: LCM of 668, 663, 228, 398, 276 is 38514521292.
2. How to calculate the LCM of 668, 663, 228, 398, 276?
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 668, 663, 228, 398, 276.
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}.