LCM of 773, 936, 596, 117, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 936, 596, 117, 312 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 773, 936, 596, 117, 312. So, keep reading to learn more.
Given numbers are 773,936,596,117,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,936,596,117,312 is 107805672.
Find LCM of 773,936,596,117,312 with Prime Factorization
| 2 | 773, 936, 596, 117, 312 |
| 2 | 773, 468, 298, 117, 156 |
| 2 | 773, 234, 149, 117, 78 |
| 3 | 773, 117, 149, 117, 39 |
| 3 | 773, 13, 149, 39, 39 |
| 13 | 773, 13, 149, 13, 13 |
| 773, 1, 149, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 773 x 1 x 149 x 1 x 1 = 107805672
Therefore, the lowest common multiple of 773,936,596,117,312 is 107805672.
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.
773 x 936 x 596 x 117 x 312 = 15741353002752
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.
773 : 1, 773
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
596 : 1, 2, 4, 149, 298, 596
117 : 1, 3, 9, 13, 39, 117
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,936,596,117,312, is 1.
Now, the common factors can be found like this.
773:773
936:2x 2x 2x 3x 3x 13
596:2x 2x 149
117:3x 3x 13
312:2x 2x 2x 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 2x 2x 2x 2x 3x 3x 3x 13x 13 = 146016
Therefore, the value for common factors is 146016.
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 = 15741353002752/(1x146016)
LCM = 15741353002752/146016
LCM = 107805672
Thus, we can understand that the LCM of 773,936,596,117,312 is 107805672.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 773, 936, 596, 117, 312
1. What is the LCM of 773, 936, 596, 117, 312?
Answer: LCM of 773, 936, 596, 117, 312 is 107805672.
2. How to calculate the LCM of 773, 936, 596, 117, 312?
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 773, 936, 596, 117, 312.
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}.