LCM of 828, 228, 153, 245, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 228, 153, 245, 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 828, 228, 153, 245, 660. So, keep reading to learn more.
Given numbers are 828,228,153,245,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,228,153,245,660 is 720761580.
Find LCM of 828,228,153,245,660 with Prime Factorization
| 2 | 828, 228, 153, 245, 660 |
| 2 | 414, 114, 153, 245, 330 |
| 3 | 207, 57, 153, 245, 165 |
| 3 | 69, 19, 51, 245, 55 |
| 5 | 23, 19, 17, 245, 55 |
| 23, 19, 17, 49, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 19 x 17 x 49 x 11 = 720761580
Therefore, the lowest common multiple of 828,228,153,245,660 is 720761580.
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.
828 x 228 x 153 x 245 x 660 = 4670535038400
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
153 : 1, 3, 9, 17, 51, 153
245 : 1, 5, 7, 35, 49, 245
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 828,228,153,245,660, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
228:2x 2x 3x 19
153:3x 3x 17
245:5x 7x 7
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 3x 3x 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 4670535038400/(1x6480)
LCM = 4670535038400/6480
LCM = 720761580
Thus, we can understand that the LCM of 828,228,153,245,660 is 720761580.
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FAQs on LCM of 828, 228, 153, 245, 660
1. What is the LCM of 828, 228, 153, 245, 660?
Answer: LCM of 828, 228, 153, 245, 660 is 720761580.
2. How to calculate the LCM of 828, 228, 153, 245, 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 828, 228, 153, 245, 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}.