LCM of 731, 409, 517, 317, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 409, 517, 317, 748 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 731, 409, 517, 317, 748. So, keep reading to learn more.
Given numbers are 731,409,517,317,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,409,517,317,748 is 195997477324.
Find LCM of 731,409,517,317,748 with Prime Factorization
| 11 | 731, 409, 517, 317, 748 |
| 17 | 731, 409, 47, 317, 68 |
| 43, 409, 47, 317, 4 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 43 x 409 x 47 x 317 x 4 = 195997477324
Therefore, the lowest common multiple of 731,409,517,317,748 is 195997477324.
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.
731 x 409 x 517 x 317 x 748 = 36651528259588
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.
731 : 1, 17, 43, 731
409 : 1, 409
517 : 1, 11, 47, 517
317 : 1, 317
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,409,517,317,748, is 1.
Now, the common factors can be found like this.
731:17x 43
409:409
517:11x 47
317:317
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 36651528259588/(1x187)
LCM = 36651528259588/187
LCM = 195997477324
Thus, we can understand that the LCM of 731,409,517,317,748 is 195997477324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 409, 517, 317, 748
1. What is the LCM of 731, 409, 517, 317, 748?
Answer: LCM of 731, 409, 517, 317, 748 is 195997477324.
2. How to calculate the LCM of 731, 409, 517, 317, 748?
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 731, 409, 517, 317, 748.
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}.