LCM of 731, 989, 690, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 989, 690, 614 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, 989, 690, 614. So, keep reading to learn more.
Given numbers are 731,989,690,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,989,690,614 is 154847730.
Find LCM of 731,989,690,614 with Prime Factorization
| 2 | 731, 989, 690, 614 |
| 23 | 731, 989, 345, 307 |
| 43 | 731, 43, 15, 307 |
| 17, 1, 15, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 43 x 17 x 1 x 15 x 307 = 154847730
Therefore, the lowest common multiple of 731,989,690,614 is 154847730.
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 989 x 690 x 614 = 306288809940
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
989 : 1, 23, 43, 989
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,989,690,614, is 1.
Now, the common factors can be found like this.
731:17x 43
989:23x 43
690:2x 3x 5x 23
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 43 = 1978
Therefore, the value for common factors is 1978.
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 = 306288809940/(1x1978)
LCM = 306288809940/1978
LCM = 154847730
Thus, we can understand that the LCM of 731,989,690,614 is 154847730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 989, 690, 614
1. What is the LCM of 731, 989, 690, 614?
Answer: LCM of 731, 989, 690, 614 is 154847730.
2. How to calculate the LCM of 731, 989, 690, 614?
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, 989, 690, 614.
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}.