LCM of 828, 630, 990, 214, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 630, 990, 214, 269 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, 630, 990, 214, 269. So, keep reading to learn more.
Given numbers are 828,630,990,214,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,630,990,214,269 is 9175444740.
Find LCM of 828,630,990,214,269 with Prime Factorization
| 2 | 828, 630, 990, 214, 269 |
| 3 | 414, 315, 495, 107, 269 |
| 3 | 138, 105, 165, 107, 269 |
| 5 | 46, 35, 55, 107, 269 |
| 46, 7, 11, 107, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 46 x 7 x 11 x 107 x 269 = 9175444740
Therefore, the lowest common multiple of 828,630,990,214,269 is 9175444740.
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 630 x 990 x 214 x 269 = 29728440957600
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
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
214 : 1, 2, 107, 214
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,630,990,214,269, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
630:2x 3x 3x 5x 7
990:2x 3x 3x 5x 11
214:2x 107
269:269
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 29728440957600/(1x3240)
LCM = 29728440957600/3240
LCM = 9175444740
Thus, we can understand that the LCM of 828,630,990,214,269 is 9175444740.
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FAQs on LCM of 828, 630, 990, 214, 269
1. What is the LCM of 828, 630, 990, 214, 269?
Answer: LCM of 828, 630, 990, 214, 269 is 9175444740.
2. How to calculate the LCM of 828, 630, 990, 214, 269?
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, 630, 990, 214, 269.
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}.