Find the LCM of 936, 657, 433, 796, 297 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 936, 657, 433, 796, 297. So, keep reading to learn more.
Given numbers are 936,657,433,796,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,657,433,796,297 is 194291419608.
Find LCM of 936,657,433,796,297 with Prime Factorization
2 | 936, 657, 433, 796, 297 |
2 | 468, 657, 433, 398, 297 |
3 | 234, 657, 433, 199, 297 |
3 | 78, 219, 433, 199, 99 |
26, 73, 433, 199, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 26 x 73 x 433 x 199 x 33 = 194291419608
Therefore, the lowest common multiple of 936,657,433,796,297 is 194291419608.
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.
936 x 657 x 433 x 796 x 297 = 62950419952992
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.
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
657 : 1, 3, 9, 73, 219, 657
433 : 1, 433
796 : 1, 2, 4, 199, 398, 796
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,657,433,796,297, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
657:3x 3x 73
433:433
796:2x 2x 199
297:3x 3x 3x 11
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 62950419952992/(1x324)
LCM = 62950419952992/324
LCM = 194291419608
Thus, we can understand that the LCM of 936,657,433,796,297 is 194291419608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 657, 433, 796, 297?
Answer: LCM of 936, 657, 433, 796, 297 is 194291419608.
2. How to calculate the LCM of 936, 657, 433, 796, 297?
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 936, 657, 433, 796, 297.
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}.