LCM of 381, 180, 830, 672, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 180, 830, 672, 705 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 381, 180, 830, 672, 705. So, keep reading to learn more.
Given numbers are 381,180,830,672,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,180,830,672,705 is 4993904160.
Find LCM of 381,180,830,672,705 with Prime Factorization
| 2 | 381, 180, 830, 672, 705 |
| 2 | 381, 90, 415, 336, 705 |
| 3 | 381, 45, 415, 168, 705 |
| 5 | 127, 15, 415, 56, 235 |
| 127, 3, 83, 56, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 3 x 83 x 56 x 47 = 4993904160
Therefore, the lowest common multiple of 381,180,830,672,705 is 4993904160.
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.
381 x 180 x 830 x 672 x 705 = 26967082464000
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.
381 : 1, 3, 127, 381
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
830 : 1, 2, 5, 10, 83, 166, 415, 830
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
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,180,830,672,705, is 1.
Now, the common factors can be found like this.
381:3x 127
180:2x 2x 3x 3x 5
830:2x 5x 83
672:2x 2x 2x 2x 2x 3x 7
705:3x 5x 47
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 3x 3x 5x 5 = 5400
Therefore, the value for common factors is 5400.
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 = 26967082464000/(1x5400)
LCM = 26967082464000/5400
LCM = 4993904160
Thus, we can understand that the LCM of 381,180,830,672,705 is 4993904160.
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FAQs on LCM of 381, 180, 830, 672, 705
1. What is the LCM of 381, 180, 830, 672, 705?
Answer: LCM of 381, 180, 830, 672, 705 is 4993904160.
2. How to calculate the LCM of 381, 180, 830, 672, 705?
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 381, 180, 830, 672, 705.
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}.