LCM of 369, 304, 278, 340, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 304, 278, 340, 660 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 369, 304, 278, 340, 660. So, keep reading to learn more.
Given numbers are 369,304,278,340,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,304,278,340,660 is 14578953840.
Find LCM of 369,304,278,340,660 with Prime Factorization
| 2 | 369, 304, 278, 340, 660 |
| 2 | 369, 152, 139, 170, 330 |
| 3 | 369, 76, 139, 85, 165 |
| 5 | 123, 76, 139, 85, 55 |
| 123, 76, 139, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 123 x 76 x 139 x 17 x 11 = 14578953840
Therefore, the lowest common multiple of 369,304,278,340,660 is 14578953840.
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.
369 x 304 x 278 x 340 x 660 = 6997897843200
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.
369 : 1, 3, 9, 41, 123, 369
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
278 : 1, 2, 139, 278
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,304,278,340,660, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
304:2x 2x 2x 2x 19
278:2x 139
340:2x 2x 5x 17
660:2x 2x 3x 5x 11
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 5 = 480
Therefore, the value for common factors is 480.
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 = 6997897843200/(1x480)
LCM = 6997897843200/480
LCM = 14578953840
Thus, we can understand that the LCM of 369,304,278,340,660 is 14578953840.
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FAQs on LCM of 369, 304, 278, 340, 660
1. What is the LCM of 369, 304, 278, 340, 660?
Answer: LCM of 369, 304, 278, 340, 660 is 14578953840.
2. How to calculate the LCM of 369, 304, 278, 340, 660?
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 369, 304, 278, 340, 660.
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}.