LCM of 678, 861, 180, 316, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 861, 180, 316, 903 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 678, 861, 180, 316, 903. So, keep reading to learn more.
Given numbers are 678,861,180,316,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,861,180,316,903 is 19830259260.
Find LCM of 678,861,180,316,903 with Prime Factorization
| 2 | 678, 861, 180, 316, 903 |
| 2 | 339, 861, 90, 158, 903 |
| 3 | 339, 861, 45, 79, 903 |
| 7 | 113, 287, 15, 79, 301 |
| 113, 41, 15, 79, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 113 x 41 x 15 x 79 x 43 = 19830259260
Therefore, the lowest common multiple of 678,861,180,316,903 is 19830259260.
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.
678 x 861 x 180 x 316 x 903 = 29983352001120
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
861 : 1, 3, 7, 21, 41, 123, 287, 861
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
316 : 1, 2, 4, 79, 158, 316
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,861,180,316,903, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
861:3x 7x 41
180:2x 2x 3x 3x 5
316:2x 2x 79
903:3x 7x 43
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 = 29983352001120/(1x1512)
LCM = 29983352001120/1512
LCM = 19830259260
Thus, we can understand that the LCM of 678,861,180,316,903 is 19830259260.
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FAQs on LCM of 678, 861, 180, 316, 903
1. What is the LCM of 678, 861, 180, 316, 903?
Answer: LCM of 678, 861, 180, 316, 903 is 19830259260.
2. How to calculate the LCM of 678, 861, 180, 316, 903?
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 678, 861, 180, 316, 903.
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}.