LCM of 782, 531, 889, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 531, 889, 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 782, 531, 889, 936. So, keep reading to learn more.
Given numbers are 782,531,889,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,531,889,936 is 19195807176.
Find LCM of 782,531,889,936 with Prime Factorization
| 2 | 782, 531, 889, 936 |
| 3 | 391, 531, 889, 468 |
| 3 | 391, 177, 889, 156 |
| 391, 59, 889, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 391 x 59 x 889 x 52 = 19195807176
Therefore, the lowest common multiple of 782,531,889,936 is 19195807176.
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.
782 x 531 x 889 x 936 = 345524529168
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
531 : 1, 3, 9, 59, 177, 531
889 : 1, 7, 127, 889
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 782,531,889,936, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
531:3x 3x 59
889:7x 127
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 3 = 18
Therefore, the value for common factors is 18.
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 = 345524529168/(1x18)
LCM = 345524529168/18
LCM = 19195807176
Thus, we can understand that the LCM of 782,531,889,936 is 19195807176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 531, 889, 936
1. What is the LCM of 782, 531, 889, 936?
Answer: LCM of 782, 531, 889, 936 is 19195807176.
2. How to calculate the LCM of 782, 531, 889, 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 782, 531, 889, 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}.