LCM of 737, 885, 960, 725, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 885, 960, 725, 905 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 737, 885, 960, 725, 905. So, keep reading to learn more.
Given numbers are 737,885,960,725,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,885,960,725,905 is 1095562881600.
Find LCM of 737,885,960,725,905 with Prime Factorization
| 3 | 737, 885, 960, 725, 905 |
| 5 | 737, 295, 320, 725, 905 |
| 737, 59, 64, 145, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 737 x 59 x 64 x 145 x 181 = 1095562881600
Therefore, the lowest common multiple of 737,885,960,725,905 is 1095562881600.
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.
737 x 885 x 960 x 725 x 905 = 410836080600000
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.
737 : 1, 11, 67, 737
885 : 1, 3, 5, 15, 59, 177, 295, 885
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
725 : 1, 5, 25, 29, 145, 725
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,885,960,725,905, is 1.
Now, the common factors can be found like this.
737:11x 67
885:3x 5x 59
960:2x 2x 2x 2x 2x 2x 3x 5
725:5x 5x 29
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 410836080600000/(1x375)
LCM = 410836080600000/375
LCM = 1095562881600
Thus, we can understand that the LCM of 737,885,960,725,905 is 1095562881600.
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FAQs on LCM of 737, 885, 960, 725, 905
1. What is the LCM of 737, 885, 960, 725, 905?
Answer: LCM of 737, 885, 960, 725, 905 is 1095562881600.
2. How to calculate the LCM of 737, 885, 960, 725, 905?
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 737, 885, 960, 725, 905.
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}.