LCM of 788, 690, 985, 460, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 690, 985, 460, 117 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 788, 690, 985, 460, 117. So, keep reading to learn more.
Given numbers are 788,690,985,460,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,690,985,460,117 is 10602540.
Find LCM of 788,690,985,460,117 with Prime Factorization
| 2 | 788, 690, 985, 460, 117 |
| 2 | 394, 345, 985, 230, 117 |
| 3 | 197, 345, 985, 115, 117 |
| 5 | 197, 115, 985, 115, 39 |
| 23 | 197, 23, 197, 23, 39 |
| 197 | 197, 1, 197, 1, 39 |
| 1, 1, 1, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 197 x 1 x 1 x 1 x 1 x 39 = 10602540
Therefore, the lowest common multiple of 788,690,985,460,117 is 10602540.
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.
788 x 690 x 985 x 460 x 117 = 28824065244000
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.
788 : 1, 2, 4, 197, 394, 788
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
985 : 1, 5, 197, 985
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,690,985,460,117, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
690:2x 3x 5x 23
985:5x 197
460:2x 2x 5x 23
117:3x 3x 13
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 5x 5x 23x 197 = 2718600
Therefore, the value for common factors is 2718600.
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 = 28824065244000/(1x2718600)
LCM = 28824065244000/2718600
LCM = 10602540
Thus, we can understand that the LCM of 788,690,985,460,117 is 10602540.
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FAQs on LCM of 788, 690, 985, 460, 117
1. What is the LCM of 788, 690, 985, 460, 117?
Answer: LCM of 788, 690, 985, 460, 117 is 10602540.
2. How to calculate the LCM of 788, 690, 985, 460, 117?
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 788, 690, 985, 460, 117.
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}.