Find the LCM of 678, 926, 556, 463 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, 926, 556, 463. So, keep reading to learn more.
Given numbers are 678,926,556,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,926,556,463 is 87268092.
Find LCM of 678,926,556,463 with Prime Factorization
2 | 678, 926, 556, 463 |
463 | 339, 463, 278, 463 |
339, 1, 278, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 463 x 339 x 1 x 278 x 1 = 87268092
Therefore, the lowest common multiple of 678,926,556,463 is 87268092.
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 926 x 556 x 463 = 161620506384
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
926 : 1, 2, 463, 926
556 : 1, 2, 4, 139, 278, 556
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,926,556,463, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
926:2x 463
556:2x 2x 139
463:463
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 463 = 1852
Therefore, the value for common factors is 1852.
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 = 161620506384/(1x1852)
LCM = 161620506384/1852
LCM = 87268092
Thus, we can understand that the LCM of 678,926,556,463 is 87268092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 926, 556, 463?
Answer: LCM of 678, 926, 556, 463 is 87268092.
2. How to calculate the LCM of 678, 926, 556, 463?
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, 926, 556, 463.
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}.