LCM of 747, 830, 912, 557, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 830, 912, 557, 649 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 747, 830, 912, 557, 649. So, keep reading to learn more.
Given numbers are 747,830,912,557,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,830,912,557,649 is 410453611920.
Find LCM of 747,830,912,557,649 with Prime Factorization
| 2 | 747, 830, 912, 557, 649 |
| 3 | 747, 415, 456, 557, 649 |
| 83 | 249, 415, 152, 557, 649 |
| 3, 5, 152, 557, 649 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 3 x 5 x 152 x 557 x 649 = 410453611920
Therefore, the lowest common multiple of 747,830,912,557,649 is 410453611920.
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.
747 x 830 x 912 x 557 x 649 = 204405898736160
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.
747 : 1, 3, 9, 83, 249, 747
830 : 1, 2, 5, 10, 83, 166, 415, 830
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
557 : 1, 557
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,830,912,557,649, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
830:2x 5x 83
912:2x 2x 2x 2x 3x 19
557:557
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 83 = 498
Therefore, the value for common factors is 498.
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 = 204405898736160/(1x498)
LCM = 204405898736160/498
LCM = 410453611920
Thus, we can understand that the LCM of 747,830,912,557,649 is 410453611920.
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FAQs on LCM of 747, 830, 912, 557, 649
1. What is the LCM of 747, 830, 912, 557, 649?
Answer: LCM of 747, 830, 912, 557, 649 is 410453611920.
2. How to calculate the LCM of 747, 830, 912, 557, 649?
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 747, 830, 912, 557, 649.
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}.