Find the LCM of 911, 452, 459, 972, 564 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 911, 452, 459, 972, 564. So, keep reading to learn more.
Given numbers are 911,452,459,972,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,452,459,972,564 is 79948416204.
Find LCM of 911,452,459,972,564 with Prime Factorization
2 | 911, 452, 459, 972, 564 |
2 | 911, 226, 459, 486, 282 |
3 | 911, 113, 459, 243, 141 |
3 | 911, 113, 153, 81, 47 |
3 | 911, 113, 51, 27, 47 |
911, 113, 17, 9, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 911 x 113 x 17 x 9 x 47 = 79948416204
Therefore, the lowest common multiple of 911,452,459,972,564 is 79948416204.
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.
911 x 452 x 459 x 972 x 564 = 103613147400384
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.
911 : 1, 911
452 : 1, 2, 4, 113, 226, 452
459 : 1, 3, 9, 17, 27, 51, 153, 459
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,452,459,972,564, is 1.
Now, the common factors can be found like this.
911:911
452:2x 2x 113
459:3x 3x 3x 17
972:2x 2x 3x 3x 3x 3x 3
564:2x 2x 3x 47
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 103613147400384/(1x1296)
LCM = 103613147400384/1296
LCM = 79948416204
Thus, we can understand that the LCM of 911,452,459,972,564 is 79948416204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 911, 452, 459, 972, 564?
Answer: LCM of 911, 452, 459, 972, 564 is 79948416204.
2. How to calculate the LCM of 911, 452, 459, 972, 564?
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 911, 452, 459, 972, 564.
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}.