LCM of 789, 884, 906, 357, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 884, 906, 357, 610 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 789, 884, 906, 357, 610. So, keep reading to learn more.
Given numbers are 789,884,906,357,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,884,906,357,610 is 224855800260.
Find LCM of 789,884,906,357,610 with Prime Factorization
| 2 | 789, 884, 906, 357, 610 |
| 3 | 789, 442, 453, 357, 305 |
| 17 | 263, 442, 151, 119, 305 |
| 263, 26, 151, 7, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 263 x 26 x 151 x 7 x 305 = 224855800260
Therefore, the lowest common multiple of 789,884,906,357,610 is 224855800260.
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.
789 x 884 x 906 x 357 x 610 = 137611749759120
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.
789 : 1, 3, 263, 789
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
906 : 1, 2, 3, 6, 151, 302, 453, 906
357 : 1, 3, 7, 17, 21, 51, 119, 357
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,884,906,357,610, is 1.
Now, the common factors can be found like this.
789:3x 263
884:2x 2x 13x 17
906:2x 3x 151
357:3x 7x 17
610:2x 5x 61
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 17 = 612
Therefore, the value for common factors is 612.
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 = 137611749759120/(1x612)
LCM = 137611749759120/612
LCM = 224855800260
Thus, we can understand that the LCM of 789,884,906,357,610 is 224855800260.
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FAQs on LCM of 789, 884, 906, 357, 610
1. What is the LCM of 789, 884, 906, 357, 610?
Answer: LCM of 789, 884, 906, 357, 610 is 224855800260.
2. How to calculate the LCM of 789, 884, 906, 357, 610?
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 789, 884, 906, 357, 610.
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}.