LCM of 763, 217, 104, 962, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 217, 104, 962, 213 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 763, 217, 104, 962, 213. So, keep reading to learn more.
Given numbers are 763,217,104,962,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,217,104,962,213 is 19386566472.
Find LCM of 763,217,104,962,213 with Prime Factorization
| 2 | 763, 217, 104, 962, 213 |
| 7 | 763, 217, 52, 481, 213 |
| 13 | 109, 31, 52, 481, 213 |
| 109, 31, 4, 37, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 109 x 31 x 4 x 37 x 213 = 19386566472
Therefore, the lowest common multiple of 763,217,104,962,213 is 19386566472.
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.
763 x 217 x 104 x 962 x 213 = 3528355097904
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.
763 : 1, 7, 109, 763
217 : 1, 7, 31, 217
104 : 1, 2, 4, 8, 13, 26, 52, 104
962 : 1, 2, 13, 26, 37, 74, 481, 962
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,217,104,962,213, is 1.
Now, the common factors can be found like this.
763:7x 109
217:7x 31
104:2x 2x 2x 13
962:2x 13x 37
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 3528355097904/(1x182)
LCM = 3528355097904/182
LCM = 19386566472
Thus, we can understand that the LCM of 763,217,104,962,213 is 19386566472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 763, 217, 104, 962, 213
1. What is the LCM of 763, 217, 104, 962, 213?
Answer: LCM of 763, 217, 104, 962, 213 is 19386566472.
2. How to calculate the LCM of 763, 217, 104, 962, 213?
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 763, 217, 104, 962, 213.
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}.