LCM of 737, 484, 608, 834, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 484, 608, 834, 693 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, 484, 608, 834, 693. So, keep reading to learn more.
Given numbers are 737,484,608,834,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,484,608,834,693 is 43163743392.
Find LCM of 737,484,608,834,693 with Prime Factorization
| 2 | 737, 484, 608, 834, 693 |
| 2 | 737, 242, 304, 417, 693 |
| 3 | 737, 121, 152, 417, 693 |
| 11 | 737, 121, 152, 139, 231 |
| 67, 11, 152, 139, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 11 x 152 x 139 x 21 = 43163743392
Therefore, the lowest common multiple of 737,484,608,834,693 is 43163743392.
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 484 x 608 x 834 x 693 = 125347510810368
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
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
834 : 1, 2, 3, 6, 139, 278, 417, 834
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,484,608,834,693, is 1.
Now, the common factors can be found like this.
737:11x 67
484:2x 2x 11x 11
608:2x 2x 2x 2x 2x 19
834:2x 3x 139
693:3x 3x 7x 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 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 125347510810368/(1x2904)
LCM = 125347510810368/2904
LCM = 43163743392
Thus, we can understand that the LCM of 737,484,608,834,693 is 43163743392.
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FAQs on LCM of 737, 484, 608, 834, 693
1. What is the LCM of 737, 484, 608, 834, 693?
Answer: LCM of 737, 484, 608, 834, 693 is 43163743392.
2. How to calculate the LCM of 737, 484, 608, 834, 693?
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, 484, 608, 834, 693.
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}.