LCM of 997, 840, 642, 957, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 840, 642, 957, 678 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 997, 840, 642, 957, 678. So, keep reading to learn more.
Given numbers are 997,840,642,957,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,840,642,957,678 is 3230184646920.
Find LCM of 997,840,642,957,678 with Prime Factorization
| 2 | 997, 840, 642, 957, 678 |
| 3 | 997, 420, 321, 957, 339 |
| 997, 140, 107, 319, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 997 x 140 x 107 x 319 x 113 = 3230184646920
Therefore, the lowest common multiple of 997,840,642,957,678 is 3230184646920.
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.
997 x 840 x 642 x 957 x 678 = 348859941867360
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.
997 : 1, 997
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
642 : 1, 2, 3, 6, 107, 214, 321, 642
957 : 1, 3, 11, 29, 33, 87, 319, 957
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,840,642,957,678, is 1.
Now, the common factors can be found like this.
997:997
840:2x 2x 2x 3x 5x 7
642:2x 3x 107
957:3x 11x 29
678:2x 3x 113
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 348859941867360/(1x108)
LCM = 348859941867360/108
LCM = 3230184646920
Thus, we can understand that the LCM of 997,840,642,957,678 is 3230184646920.
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FAQs on LCM of 997, 840, 642, 957, 678
1. What is the LCM of 997, 840, 642, 957, 678?
Answer: LCM of 997, 840, 642, 957, 678 is 3230184646920.
2. How to calculate the LCM of 997, 840, 642, 957, 678?
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 997, 840, 642, 957, 678.
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}.