LCM of 813, 988, 731, 169, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 988, 731, 169, 473 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, 988, 731, 169, 473. So, keep reading to learn more.
Given numbers are 813,988,731,169,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,988,731,169,473 is 83965505052.
Find LCM of 813,988,731,169,473 with Prime Factorization
| 13 | 813, 988, 731, 169, 473 |
| 43 | 813, 76, 731, 13, 473 |
| 813, 76, 17, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 813 x 76 x 17 x 13 x 11 = 83965505052
Therefore, the lowest common multiple of 813,988,731,169,473 is 83965505052.
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 988 x 731 x 169 x 473 = 46936717324068
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
731 : 1, 17, 43, 731
169 : 1, 13, 169
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,988,731,169,473, is 1.
Now, the common factors can be found like this.
813:3x 271
988:2x 2x 13x 19
731:17x 43
169:13x 13
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 46936717324068/(1x559)
LCM = 46936717324068/559
LCM = 83965505052
Thus, we can understand that the LCM of 813,988,731,169,473 is 83965505052.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 988, 731, 169, 473
1. What is the LCM of 813, 988, 731, 169, 473?
Answer: LCM of 813, 988, 731, 169, 473 is 83965505052.
2. How to calculate the LCM of 813, 988, 731, 169, 473?
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, 988, 731, 169, 473.
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}.