Find the LCM of 227, 916, 932, 398, 572 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 227, 916, 932, 398, 572. So, keep reading to learn more.
Given numbers are 227,916,932,398,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,916,932,398,572 is 1378689175292.
Find LCM of 227,916,932,398,572 with Prime Factorization
2 | 227, 916, 932, 398, 572 |
2 | 227, 458, 466, 199, 286 |
227, 229, 233, 199, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 227 x 229 x 233 x 199 x 143 = 1378689175292
Therefore, the lowest common multiple of 227,916,932,398,572 is 1378689175292.
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.
227 x 916 x 932 x 398 x 572 = 44118053609344
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.
227 : 1, 227
916 : 1, 2, 4, 229, 458, 916
932 : 1, 2, 4, 233, 466, 932
398 : 1, 2, 199, 398
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,916,932,398,572, is 1.
Now, the common factors can be found like this.
227:227
916:2x 2x 229
932:2x 2x 233
398:2x 199
572:2x 2x 11x 13
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 44118053609344/(1x32)
LCM = 44118053609344/32
LCM = 1378689175292
Thus, we can understand that the LCM of 227,916,932,398,572 is 1378689175292.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 916, 932, 398, 572?
Answer: LCM of 227, 916, 932, 398, 572 is 1378689175292.
2. How to calculate the LCM of 227, 916, 932, 398, 572?
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 227, 916, 932, 398, 572.
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}.