LCM of 939, 840, 785, 321, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 840, 785, 321, 462 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 939, 840, 785, 321, 462. So, keep reading to learn more.
Given numbers are 939,840,785,321,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,840,785,321,462 is 48584723880.
Find LCM of 939,840,785,321,462 with Prime Factorization
| 2 | 939, 840, 785, 321, 462 |
| 3 | 939, 420, 785, 321, 231 |
| 5 | 313, 140, 785, 107, 77 |
| 7 | 313, 28, 157, 107, 77 |
| 313, 4, 157, 107, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 313 x 4 x 157 x 107 x 11 = 48584723880
Therefore, the lowest common multiple of 939,840,785,321,462 is 48584723880.
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.
939 x 840 x 785 x 321 x 462 = 91825128133200
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.
939 : 1, 3, 313, 939
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
785 : 1, 5, 157, 785
321 : 1, 3, 107, 321
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,840,785,321,462, is 1.
Now, the common factors can be found like this.
939:3x 313
840:2x 2x 2x 3x 5x 7
785:5x 157
321:3x 107
462:2x 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 3x 3x 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 91825128133200/(1x1890)
LCM = 91825128133200/1890
LCM = 48584723880
Thus, we can understand that the LCM of 939,840,785,321,462 is 48584723880.
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FAQs on LCM of 939, 840, 785, 321, 462
1. What is the LCM of 939, 840, 785, 321, 462?
Answer: LCM of 939, 840, 785, 321, 462 is 48584723880.
2. How to calculate the LCM of 939, 840, 785, 321, 462?
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 939, 840, 785, 321, 462.
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}.