LCM of 678, 111, 740, 840, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 111, 740, 840, 717 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 678, 111, 740, 840, 717. So, keep reading to learn more.
Given numbers are 678,111,740,840,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,111,740,840,717 is 839377560.
Find LCM of 678,111,740,840,717 with Prime Factorization
| 2 | 678, 111, 740, 840, 717 |
| 2 | 339, 111, 370, 420, 717 |
| 3 | 339, 111, 185, 210, 717 |
| 5 | 113, 37, 185, 70, 239 |
| 37 | 113, 37, 37, 14, 239 |
| 113, 1, 1, 14, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 113 x 1 x 1 x 14 x 239 = 839377560
Therefore, the lowest common multiple of 678,111,740,840,717 is 839377560.
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.
678 x 111 x 740 x 840 x 717 = 33541527297600
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
111 : 1, 3, 37, 111
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,111,740,840,717, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
111:3x 37
740:2x 2x 5x 37
840:2x 2x 2x 3x 5x 7
717:3x 239
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 3x 3x 5x 37 = 39960
Therefore, the value for common factors is 39960.
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 = 33541527297600/(1x39960)
LCM = 33541527297600/39960
LCM = 839377560
Thus, we can understand that the LCM of 678,111,740,840,717 is 839377560.
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FAQs on LCM of 678, 111, 740, 840, 717
1. What is the LCM of 678, 111, 740, 840, 717?
Answer: LCM of 678, 111, 740, 840, 717 is 839377560.
2. How to calculate the LCM of 678, 111, 740, 840, 717?
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 678, 111, 740, 840, 717.
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}.