Find the LCM of 678, 196, 783, 678, 139 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, 196, 783, 678, 139. So, keep reading to learn more.
Given numbers are 678,196,783,678,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,196,783,678,139 is 2410521876.
Find LCM of 678,196,783,678,139 with Prime Factorization
2 | 678, 196, 783, 678, 139 |
3 | 339, 98, 783, 339, 139 |
113 | 113, 98, 261, 113, 139 |
1, 98, 261, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 1 x 98 x 261 x 1 x 139 = 2410521876
Therefore, the lowest common multiple of 678,196,783,678,139 is 2410521876.
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 196 x 783 x 678 x 139 = 9806002991568
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
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
783 : 1, 3, 9, 27, 29, 87, 261, 783
678 : 1, 2, 3, 6, 113, 226, 339, 678
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,196,783,678,139, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
196:2x 2x 7x 7
783:3x 3x 3x 29
678:2x 3x 113
139:139
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 3x 3x 113 = 4068
Therefore, the value for common factors is 4068.
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 = 9806002991568/(1x4068)
LCM = 9806002991568/4068
LCM = 2410521876
Thus, we can understand that the LCM of 678,196,783,678,139 is 2410521876.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 196, 783, 678, 139?
Answer: LCM of 678, 196, 783, 678, 139 is 2410521876.
2. How to calculate the LCM of 678, 196, 783, 678, 139?
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, 196, 783, 678, 139.
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}.