Find the LCM of 843, 468, 902, 823, 840 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 843, 468, 902, 823, 840. So, keep reading to learn more.
Given numbers are 843,468,902,823,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,468,902,823,840 is 3416855321880.
Find LCM of 843,468,902,823,840 with Prime Factorization
2 | 843, 468, 902, 823, 840 |
2 | 843, 234, 451, 823, 420 |
3 | 843, 117, 451, 823, 210 |
281, 39, 451, 823, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 281 x 39 x 451 x 823 x 70 = 3416855321880
Therefore, the lowest common multiple of 843,468,902,823,840 is 3416855321880.
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.
843 x 468 x 902 x 823 x 840 = 246013583175360
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.
843 : 1, 3, 281, 843
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
902 : 1, 2, 11, 22, 41, 82, 451, 902
823 : 1, 823
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,468,902,823,840, is 1.
Now, the common factors can be found like this.
843:3x 281
468:2x 2x 3x 3x 13
902:2x 11x 41
823:823
840:2x 2x 2x 3x 5x 7
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 3 = 72
Therefore, the value for common factors is 72.
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 = 246013583175360/(1x72)
LCM = 246013583175360/72
LCM = 3416855321880
Thus, we can understand that the LCM of 843,468,902,823,840 is 3416855321880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 468, 902, 823, 840?
Answer: LCM of 843, 468, 902, 823, 840 is 3416855321880.
2. How to calculate the LCM of 843, 468, 902, 823, 840?
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 843, 468, 902, 823, 840.
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}.