Find the LCM of 531, 564, 127, 597, 411 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 531, 564, 127, 597, 411. So, keep reading to learn more.
Given numbers are 531,564,127,597,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,564,127,597,411 is 345644567028.
Find LCM of 531,564,127,597,411 with Prime Factorization
3 | 531, 564, 127, 597, 411 |
177, 188, 127, 199, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 177 x 188 x 127 x 199 x 137 = 345644567028
Therefore, the lowest common multiple of 531,564,127,597,411 is 345644567028.
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.
531 x 564 x 127 x 597 x 411 = 9332403309756
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.
531 : 1, 3, 9, 59, 177, 531
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
127 : 1, 127
597 : 1, 3, 199, 597
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,564,127,597,411, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
564:2x 2x 3x 47
127:127
597:3x 199
411:3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 9332403309756/(1x27)
LCM = 9332403309756/27
LCM = 345644567028
Thus, we can understand that the LCM of 531,564,127,597,411 is 345644567028.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 564, 127, 597, 411?
Answer: LCM of 531, 564, 127, 597, 411 is 345644567028.
2. How to calculate the LCM of 531, 564, 127, 597, 411?
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 531, 564, 127, 597, 411.
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}.