Find the LCM of 573, 962, 231, 501, 936 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 573, 962, 231, 501, 936. So, keep reading to learn more.
Given numbers are 573,962,231,501,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,962,231,501,936 is 85058581608.
Find LCM of 573,962,231,501,936 with Prime Factorization
2 | 573, 962, 231, 501, 936 |
3 | 573, 481, 231, 501, 468 |
13 | 191, 481, 77, 167, 156 |
191, 37, 77, 167, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 191 x 37 x 77 x 167 x 12 = 85058581608
Therefore, the lowest common multiple of 573,962,231,501,936 is 85058581608.
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.
573 x 962 x 231 x 501 x 936 = 59711124288816
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.
573 : 1, 3, 191, 573
962 : 1, 2, 13, 26, 37, 74, 481, 962
231 : 1, 3, 7, 11, 21, 33, 77, 231
501 : 1, 3, 167, 501
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,962,231,501,936, is 1.
Now, the common factors can be found like this.
573:3x 191
962:2x 13x 37
231:3x 7x 11
501:3x 167
936:2x 2x 2x 3x 3x 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 3x 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 59711124288816/(1x702)
LCM = 59711124288816/702
LCM = 85058581608
Thus, we can understand that the LCM of 573,962,231,501,936 is 85058581608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 962, 231, 501, 936?
Answer: LCM of 573, 962, 231, 501, 936 is 85058581608.
2. How to calculate the LCM of 573, 962, 231, 501, 936?
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 573, 962, 231, 501, 936.
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}.