LCM of 793, 420, 772, 360, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 420, 772, 360, 921 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 793, 420, 772, 360, 921. So, keep reading to learn more.
Given numbers are 793,420,772,360,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,420,772,360,921 is 118404828360.
Find LCM of 793,420,772,360,921 with Prime Factorization
| 2 | 793, 420, 772, 360, 921 |
| 2 | 793, 210, 386, 180, 921 |
| 3 | 793, 105, 193, 90, 921 |
| 5 | 793, 35, 193, 30, 307 |
| 793, 7, 193, 6, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 793 x 7 x 193 x 6 x 307 = 118404828360
Therefore, the lowest common multiple of 793,420,772,360,921 is 118404828360.
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.
793 x 420 x 772 x 360 x 921 = 85251476419200
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.
793 : 1, 13, 61, 793
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
772 : 1, 2, 4, 193, 386, 772
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,420,772,360,921, is 1.
Now, the common factors can be found like this.
793:13x 61
420:2x 2x 3x 5x 7
772:2x 2x 193
360:2x 2x 2x 3x 3x 5
921:3x 307
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 5 = 720
Therefore, the value for common factors is 720.
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 = 85251476419200/(1x720)
LCM = 85251476419200/720
LCM = 118404828360
Thus, we can understand that the LCM of 793,420,772,360,921 is 118404828360.
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FAQs on LCM of 793, 420, 772, 360, 921
1. What is the LCM of 793, 420, 772, 360, 921?
Answer: LCM of 793, 420, 772, 360, 921 is 118404828360.
2. How to calculate the LCM of 793, 420, 772, 360, 921?
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 793, 420, 772, 360, 921.
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}.