LCM of 605, 335, 467, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 335, 467, 737 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 605, 335, 467, 737. So, keep reading to learn more.
Given numbers are 605,335,467,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,335,467,737 is 18929845.
Find LCM of 605,335,467,737 with Prime Factorization
| 5 | 605, 335, 467, 737 |
| 11 | 121, 67, 467, 737 |
| 67 | 11, 67, 467, 67 |
| 11, 1, 467, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 67 x 11 x 1 x 467 x 1 = 18929845
Therefore, the lowest common multiple of 605,335,467,737 is 18929845.
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.
605 x 335 x 467 x 737 = 69756478825
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.
605 : 1, 5, 11, 55, 121, 605
335 : 1, 5, 67, 335
467 : 1, 467
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,335,467,737, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
335:5x 67
467:467
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 67 = 3685
Therefore, the value for common factors is 3685.
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 = 69756478825/(1x3685)
LCM = 69756478825/3685
LCM = 18929845
Thus, we can understand that the LCM of 605,335,467,737 is 18929845.
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FAQs on LCM of 605, 335, 467, 737
1. What is the LCM of 605, 335, 467, 737?
Answer: LCM of 605, 335, 467, 737 is 18929845.
2. How to calculate the LCM of 605, 335, 467, 737?
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 605, 335, 467, 737.
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}.