LCM of 556, 803, 973, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 803, 973, 228 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 556, 803, 973, 228. So, keep reading to learn more.
Given numbers are 556,803,973,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,803,973,228 is 178140732.
Find LCM of 556,803,973,228 with Prime Factorization
| 2 | 556, 803, 973, 228 |
| 2 | 278, 803, 973, 114 |
| 139 | 139, 803, 973, 57 |
| 1, 803, 7, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 1 x 803 x 7 x 57 = 178140732
Therefore, the lowest common multiple of 556,803,973,228 is 178140732.
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.
556 x 803 x 973 x 228 = 99046246992
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.
556 : 1, 2, 4, 139, 278, 556
803 : 1, 11, 73, 803
973 : 1, 7, 139, 973
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,803,973,228, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
803:11x 73
973:7x 139
228:2x 2x 3x 19
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 139 = 556
Therefore, the value for common factors is 556.
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 = 99046246992/(1x556)
LCM = 99046246992/556
LCM = 178140732
Thus, we can understand that the LCM of 556,803,973,228 is 178140732.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 556, 803, 973, 228
1. What is the LCM of 556, 803, 973, 228?
Answer: LCM of 556, 803, 973, 228 is 178140732.
2. How to calculate the LCM of 556, 803, 973, 228?
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 556, 803, 973, 228.
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}.