LCM of 407, 760, 942, 677, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 760, 942, 677, 285 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 407, 760, 942, 677, 285. So, keep reading to learn more.
Given numbers are 407,760,942,677,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,760,942,677,285 is 98631940440.
Find LCM of 407,760,942,677,285 with Prime Factorization
| 2 | 407, 760, 942, 677, 285 |
| 3 | 407, 380, 471, 677, 285 |
| 5 | 407, 380, 157, 677, 95 |
| 19 | 407, 76, 157, 677, 19 |
| 407, 4, 157, 677, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 407 x 4 x 157 x 677 x 1 = 98631940440
Therefore, the lowest common multiple of 407,760,942,677,285 is 98631940440.
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.
407 x 760 x 942 x 677 x 285 = 56220206050800
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.
407 : 1, 11, 37, 407
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
942 : 1, 2, 3, 6, 157, 314, 471, 942
677 : 1, 677
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,760,942,677,285, is 1.
Now, the common factors can be found like this.
407:11x 37
760:2x 2x 2x 5x 19
942:2x 3x 157
677:677
285:3x 5x 19
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 5x 19 = 570
Therefore, the value for common factors is 570.
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 = 56220206050800/(1x570)
LCM = 56220206050800/570
LCM = 98631940440
Thus, we can understand that the LCM of 407,760,942,677,285 is 98631940440.
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FAQs on LCM of 407, 760, 942, 677, 285
1. What is the LCM of 407, 760, 942, 677, 285?
Answer: LCM of 407, 760, 942, 677, 285 is 98631940440.
2. How to calculate the LCM of 407, 760, 942, 677, 285?
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 407, 760, 942, 677, 285.
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}.