LCM of 813, 772, 473, 788, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 772, 473, 788, 229 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 813, 772, 473, 788, 229. So, keep reading to learn more.
Given numbers are 813,772,473,788,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,772,473,788,229 is 13392778776564.
Find LCM of 813,772,473,788,229 with Prime Factorization
| 2 | 813, 772, 473, 788, 229 |
| 2 | 813, 386, 473, 394, 229 |
| 813, 193, 473, 197, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 813 x 193 x 473 x 197 x 229 = 13392778776564
Therefore, the lowest common multiple of 813,772,473,788,229 is 13392778776564.
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.
813 x 772 x 473 x 788 x 229 = 53571115106256
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.
813 : 1, 3, 271, 813
772 : 1, 2, 4, 193, 386, 772
473 : 1, 11, 43, 473
788 : 1, 2, 4, 197, 394, 788
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,772,473,788,229, is 1.
Now, the common factors can be found like this.
813:3x 271
772:2x 2x 193
473:11x 43
788:2x 2x 197
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 53571115106256/(1x4)
LCM = 53571115106256/4
LCM = 13392778776564
Thus, we can understand that the LCM of 813,772,473,788,229 is 13392778776564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 772, 473, 788, 229
1. What is the LCM of 813, 772, 473, 788, 229?
Answer: LCM of 813, 772, 473, 788, 229 is 13392778776564.
2. How to calculate the LCM of 813, 772, 473, 788, 229?
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 813, 772, 473, 788, 229.
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}.