LCM of 394, 766, 830, 333, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 766, 830, 333, 987 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 394, 766, 830, 333, 987. So, keep reading to learn more.
Given numbers are 394,766,830,333,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,766,830,333,987 is 6860933721810.
Find LCM of 394,766,830,333,987 with Prime Factorization
| 2 | 394, 766, 830, 333, 987 |
| 3 | 197, 383, 415, 333, 987 |
| 197, 383, 415, 111, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 383 x 415 x 111 x 329 = 6860933721810
Therefore, the lowest common multiple of 394,766,830,333,987 is 6860933721810.
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.
394 x 766 x 830 x 333 x 987 = 82331204661720
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.
394 : 1, 2, 197, 394
766 : 1, 2, 383, 766
830 : 1, 2, 5, 10, 83, 166, 415, 830
333 : 1, 3, 9, 37, 111, 333
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,766,830,333,987, is 1.
Now, the common factors can be found like this.
394:2x 197
766:2x 383
830:2x 5x 83
333:3x 3x 37
987:3x 7x 47
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 3 = 12
Therefore, the value for common factors is 12.
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 = 82331204661720/(1x12)
LCM = 82331204661720/12
LCM = 6860933721810
Thus, we can understand that the LCM of 394,766,830,333,987 is 6860933721810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 394, 766, 830, 333, 987
1. What is the LCM of 394, 766, 830, 333, 987?
Answer: LCM of 394, 766, 830, 333, 987 is 6860933721810.
2. How to calculate the LCM of 394, 766, 830, 333, 987?
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 394, 766, 830, 333, 987.
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}.