Find the LCM of 947, 230, 276, 557 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 947, 230, 276, 557. So, keep reading to learn more.
Given numbers are 947,230,276,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,230,276,557 is 727921020.
Find LCM of 947,230,276,557 with Prime Factorization
2 | 947, 230, 276, 557 |
23 | 947, 115, 138, 557 |
947, 5, 6, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 947 x 5 x 6 x 557 = 727921020
Therefore, the lowest common multiple of 947,230,276,557 is 727921020.
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.
947 x 230 x 276 x 557 = 33484366920
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.
947 : 1, 947
230 : 1, 2, 5, 10, 23, 46, 115, 230
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,230,276,557, is 1.
Now, the common factors can be found like this.
947:947
230:2x 5x 23
276:2x 2x 3x 23
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 33484366920/(1x46)
LCM = 33484366920/46
LCM = 727921020
Thus, we can understand that the LCM of 947,230,276,557 is 727921020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 230, 276, 557?
Answer: LCM of 947, 230, 276, 557 is 727921020.
2. How to calculate the LCM of 947, 230, 276, 557?
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 947, 230, 276, 557.
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}.