LCM of 240, 896, 737, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 896, 737, 605 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 240, 896, 737, 605. So, keep reading to learn more.
Given numbers are 240,896,737,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,896,737,605 is 108958080.
Find LCM of 240,896,737,605 with Prime Factorization
| 2 | 240, 896, 737, 605 |
| 2 | 120, 448, 737, 605 |
| 2 | 60, 224, 737, 605 |
| 2 | 30, 112, 737, 605 |
| 5 | 15, 56, 737, 605 |
| 11 | 3, 56, 737, 121 |
| 3, 56, 67, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 3 x 56 x 67 x 11 = 108958080
Therefore, the lowest common multiple of 240,896,737,605 is 108958080.
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.
240 x 896 x 737 x 605 = 95883110400
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
737 : 1, 11, 67, 737
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,896,737,605, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
896:2x 2x 2x 2x 2x 2x 2x 7
737:11x 67
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 95883110400/(1x880)
LCM = 95883110400/880
LCM = 108958080
Thus, we can understand that the LCM of 240,896,737,605 is 108958080.
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FAQs on LCM of 240, 896, 737, 605
1. What is the LCM of 240, 896, 737, 605?
Answer: LCM of 240, 896, 737, 605 is 108958080.
2. How to calculate the LCM of 240, 896, 737, 605?
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 240, 896, 737, 605.
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}.