LCM of 828, 210, 420, 963, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 210, 420, 963, 728 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, 210, 420, 963, 728. So, keep reading to learn more.
Given numbers are 828,210,420,963,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,210,420,963,728 is 80622360.
Find LCM of 828,210,420,963,728 with Prime Factorization
| 2 | 828, 210, 420, 963, 728 |
| 2 | 414, 105, 210, 963, 364 |
| 3 | 207, 105, 105, 963, 182 |
| 3 | 69, 35, 35, 321, 182 |
| 5 | 23, 35, 35, 107, 182 |
| 7 | 23, 7, 7, 107, 182 |
| 23, 1, 1, 107, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 23 x 1 x 1 x 107 x 26 = 80622360
Therefore, the lowest common multiple of 828,210,420,963,728 is 80622360.
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 210 x 420 x 963 x 728 = 51198423494400
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
963 : 1, 3, 9, 107, 321, 963
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,210,420,963,728, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
210:2x 3x 5x 7
420:2x 2x 3x 5x 7
963:3x 3x 107
728:2x 2x 2x 7x 13
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 3x 3x 3x 5x 7x 7 = 635040
Therefore, the value for common factors is 635040.
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 = 51198423494400/(1x635040)
LCM = 51198423494400/635040
LCM = 80622360
Thus, we can understand that the LCM of 828,210,420,963,728 is 80622360.
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FAQs on LCM of 828, 210, 420, 963, 728
1. What is the LCM of 828, 210, 420, 963, 728?
Answer: LCM of 828, 210, 420, 963, 728 is 80622360.
2. How to calculate the LCM of 828, 210, 420, 963, 728?
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, 210, 420, 963, 728.
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}.