LCM of 746, 456, 737, 627, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 456, 737, 627, 814 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 746, 456, 737, 627, 814. So, keep reading to learn more.
Given numbers are 746,456,737,627,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,456,737,627,814 is 4638129672.
Find LCM of 746,456,737,627,814 with Prime Factorization
| 2 | 746, 456, 737, 627, 814 |
| 3 | 373, 228, 737, 627, 407 |
| 11 | 373, 76, 737, 209, 407 |
| 19 | 373, 76, 67, 19, 37 |
| 373, 4, 67, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 373 x 4 x 67 x 1 x 37 = 4638129672
Therefore, the lowest common multiple of 746,456,737,627,814 is 4638129672.
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.
746 x 456 x 737 x 627 x 814 = 127956721391136
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.
746 : 1, 2, 373, 746
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
737 : 1, 11, 67, 737
627 : 1, 3, 11, 19, 33, 57, 209, 627
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,456,737,627,814, is 1.
Now, the common factors can be found like this.
746:2x 373
456:2x 2x 2x 3x 19
737:11x 67
627:3x 11x 19
814:2x 11x 37
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 3x 11x 11x 19 = 27588
Therefore, the value for common factors is 27588.
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 = 127956721391136/(1x27588)
LCM = 127956721391136/27588
LCM = 4638129672
Thus, we can understand that the LCM of 746,456,737,627,814 is 4638129672.
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FAQs on LCM of 746, 456, 737, 627, 814
1. What is the LCM of 746, 456, 737, 627, 814?
Answer: LCM of 746, 456, 737, 627, 814 is 4638129672.
2. How to calculate the LCM of 746, 456, 737, 627, 814?
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 746, 456, 737, 627, 814.
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}.