LCM of 103, 720, 195, 692, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 720, 195, 692, 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 103, 720, 195, 692, 312. So, keep reading to learn more.
Given numbers are 103,720,195,692,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,720,195,692,312 is 166785840.
Find LCM of 103,720,195,692,312 with Prime Factorization
| 2 | 103, 720, 195, 692, 312 |
| 2 | 103, 360, 195, 346, 156 |
| 2 | 103, 180, 195, 173, 78 |
| 3 | 103, 90, 195, 173, 39 |
| 5 | 103, 30, 65, 173, 13 |
| 13 | 103, 6, 13, 173, 13 |
| 103, 6, 1, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 103 x 6 x 1 x 173 x 1 = 166785840
Therefore, the lowest common multiple of 103,720,195,692,312 is 166785840.
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.
103 x 720 x 195 x 692 x 312 = 3122230924800
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.
103 : 1, 103
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
195 : 1, 3, 5, 13, 15, 39, 65, 195
692 : 1, 2, 4, 173, 346, 692
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 103,720,195,692,312, is 1.
Now, the common factors can be found like this.
103:103
720:2x 2x 2x 2x 3x 3x 5
195:3x 5x 13
692:2x 2x 173
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 5x 13 = 18720
Therefore, the value for common factors is 18720.
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 = 3122230924800/(1x18720)
LCM = 3122230924800/18720
LCM = 166785840
Thus, we can understand that the LCM of 103,720,195,692,312 is 166785840.
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FAQs on LCM of 103, 720, 195, 692, 312
1. What is the LCM of 103, 720, 195, 692, 312?
Answer: LCM of 103, 720, 195, 692, 312 is 166785840.
2. How to calculate the LCM of 103, 720, 195, 692, 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 103, 720, 195, 692, 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}.