LCM of 311, 596, 656, 712, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 596, 656, 712, 420 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 311, 596, 656, 712, 420. So, keep reading to learn more.
Given numbers are 311,596,656,712,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,596,656,712,420 is 284072898480.
Find LCM of 311,596,656,712,420 with Prime Factorization
| 2 | 311, 596, 656, 712, 420 |
| 2 | 311, 298, 328, 356, 210 |
| 2 | 311, 149, 164, 178, 105 |
| 311, 149, 82, 89, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 311 x 149 x 82 x 89 x 105 = 284072898480
Therefore, the lowest common multiple of 311,596,656,712,420 is 284072898480.
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.
311 x 596 x 656 x 712 x 420 = 36361331005440
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.
311 : 1, 311
596 : 1, 2, 4, 149, 298, 596
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
712 : 1, 2, 4, 8, 89, 178, 356, 712
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,596,656,712,420, is 1.
Now, the common factors can be found like this.
311:311
596:2x 2x 149
656:2x 2x 2x 2x 41
712:2x 2x 2x 89
420:2x 2x 3x 5x 7
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 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 36361331005440/(1x128)
LCM = 36361331005440/128
LCM = 284072898480
Thus, we can understand that the LCM of 311,596,656,712,420 is 284072898480.
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FAQs on LCM of 311, 596, 656, 712, 420
1. What is the LCM of 311, 596, 656, 712, 420?
Answer: LCM of 311, 596, 656, 712, 420 is 284072898480.
2. How to calculate the LCM of 311, 596, 656, 712, 420?
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 311, 596, 656, 712, 420.
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}.