LCM of 983, 220, 414, 319, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 220, 414, 319, 687 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 983, 220, 414, 319, 687. So, keep reading to learn more.
Given numbers are 983,220,414,319,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,220,414,319,687 is 297289810620.
Find LCM of 983,220,414,319,687 with Prime Factorization
| 2 | 983, 220, 414, 319, 687 |
| 3 | 983, 110, 207, 319, 687 |
| 11 | 983, 110, 69, 319, 229 |
| 983, 10, 69, 29, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 983 x 10 x 69 x 29 x 229 = 297289810620
Therefore, the lowest common multiple of 983,220,414,319,687 is 297289810620.
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.
983 x 220 x 414 x 319 x 687 = 19621127500920
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.
983 : 1, 983
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
319 : 1, 11, 29, 319
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,220,414,319,687, is 1.
Now, the common factors can be found like this.
983:983
220:2x 2x 5x 11
414:2x 3x 3x 23
319:11x 29
687:3x 229
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 11 = 66
Therefore, the value for common factors is 66.
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 = 19621127500920/(1x66)
LCM = 19621127500920/66
LCM = 297289810620
Thus, we can understand that the LCM of 983,220,414,319,687 is 297289810620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 983, 220, 414, 319, 687
1. What is the LCM of 983, 220, 414, 319, 687?
Answer: LCM of 983, 220, 414, 319, 687 is 297289810620.
2. How to calculate the LCM of 983, 220, 414, 319, 687?
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 983, 220, 414, 319, 687.
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}.