LCM of 839, 728, 441, 312, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 728, 441, 312, 924 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 839, 728, 441, 312, 924. So, keep reading to learn more.
Given numbers are 839,728,441,312,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,728,441,312,924 is 423278856.
Find LCM of 839,728,441,312,924 with Prime Factorization
| 2 | 839, 728, 441, 312, 924 |
| 2 | 839, 364, 441, 156, 462 |
| 2 | 839, 182, 441, 78, 231 |
| 3 | 839, 91, 441, 39, 231 |
| 7 | 839, 91, 147, 13, 77 |
| 13 | 839, 13, 21, 13, 11 |
| 839, 1, 21, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 839 x 1 x 21 x 1 x 11 = 423278856
Therefore, the lowest common multiple of 839,728,441,312,924 is 423278856.
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.
839 x 728 x 441 x 312 x 924 = 77653045806336
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.
839 : 1, 839
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,728,441,312,924, is 1.
Now, the common factors can be found like this.
839:839
728:2x 2x 2x 7x 13
441:3x 3x 7x 7
312:2x 2x 2x 3x 13
924:2x 2x 3x 7x 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 3x 7x 7x 13 = 183456
Therefore, the value for common factors is 183456.
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 = 77653045806336/(1x183456)
LCM = 77653045806336/183456
LCM = 423278856
Thus, we can understand that the LCM of 839,728,441,312,924 is 423278856.
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FAQs on LCM of 839, 728, 441, 312, 924
1. What is the LCM of 839, 728, 441, 312, 924?
Answer: LCM of 839, 728, 441, 312, 924 is 423278856.
2. How to calculate the LCM of 839, 728, 441, 312, 924?
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 839, 728, 441, 312, 924.
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}.