LCM of 863, 378, 672, 981, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 863, 378, 672, 981, 428 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 863, 378, 672, 981, 428. So, keep reading to learn more.
Given numbers are 863,378,672,981,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,378,672,981,428 is 60874142112.
Find LCM of 863,378,672,981,428 with Prime Factorization
| 2 | 863, 378, 672, 981, 428 |
| 2 | 863, 189, 336, 981, 214 |
| 3 | 863, 189, 168, 981, 107 |
| 3 | 863, 63, 56, 327, 107 |
| 7 | 863, 21, 56, 109, 107 |
| 863, 3, 8, 109, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 863 x 3 x 8 x 109 x 107 = 60874142112
Therefore, the lowest common multiple of 863,378,672,981,428 is 60874142112.
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.
863 x 378 x 672 x 981 x 428 = 92041702873344
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.
863 : 1, 863
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
981 : 1, 3, 9, 109, 327, 981
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,378,672,981,428, is 1.
Now, the common factors can be found like this.
863:863
378:2x 3x 3x 3x 7
672:2x 2x 2x 2x 2x 3x 7
981:3x 3x 109
428:2x 2x 107
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 7 = 1512
Therefore, the value for common factors is 1512.
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 = 92041702873344/(1x1512)
LCM = 92041702873344/1512
LCM = 60874142112
Thus, we can understand that the LCM of 863,378,672,981,428 is 60874142112.
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FAQs on LCM of 863, 378, 672, 981, 428
1. What is the LCM of 863, 378, 672, 981, 428?
Answer: LCM of 863, 378, 672, 981, 428 is 60874142112.
2. How to calculate the LCM of 863, 378, 672, 981, 428?
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 863, 378, 672, 981, 428.
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}.