LCM of 371, 997, 685, 672, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 997, 685, 672, 366 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 371, 997, 685, 672, 366. So, keep reading to learn more.
Given numbers are 371,997,685,672,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,997,685,672,366 is 1483749916320.
Find LCM of 371,997,685,672,366 with Prime Factorization
| 2 | 371, 997, 685, 672, 366 |
| 3 | 371, 997, 685, 336, 183 |
| 7 | 371, 997, 685, 112, 61 |
| 53, 997, 685, 16, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 997 x 685 x 16 x 61 = 1483749916320
Therefore, the lowest common multiple of 371,997,685,672,366 is 1483749916320.
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.
371 x 997 x 685 x 672 x 366 = 62317496485440
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.
371 : 1, 7, 53, 371
997 : 1, 997
685 : 1, 5, 137, 685
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,997,685,672,366, is 1.
Now, the common factors can be found like this.
371:7x 53
997:997
685:5x 137
672:2x 2x 2x 2x 2x 3x 7
366:2x 3x 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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 62317496485440/(1x42)
LCM = 62317496485440/42
LCM = 1483749916320
Thus, we can understand that the LCM of 371,997,685,672,366 is 1483749916320.
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FAQs on LCM of 371, 997, 685, 672, 366
1. What is the LCM of 371, 997, 685, 672, 366?
Answer: LCM of 371, 997, 685, 672, 366 is 1483749916320.
2. How to calculate the LCM of 371, 997, 685, 672, 366?
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 371, 997, 685, 672, 366.
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}.