LCM of 914, 726, 552, 748, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 726, 552, 748, 333 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 914, 726, 552, 748, 333. So, keep reading to learn more.
Given numbers are 914,726,552,748,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,726,552,748,333 is 57598682328.
Find LCM of 914,726,552,748,333 with Prime Factorization
| 2 | 914, 726, 552, 748, 333 |
| 2 | 457, 363, 276, 374, 333 |
| 3 | 457, 363, 138, 187, 333 |
| 11 | 457, 121, 46, 187, 111 |
| 457, 11, 46, 17, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 457 x 11 x 46 x 17 x 111 = 57598682328
Therefore, the lowest common multiple of 914,726,552,748,333 is 57598682328.
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.
914 x 726 x 552 x 748 x 333 = 91236312807552
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.
914 : 1, 2, 457, 914
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,726,552,748,333, is 1.
Now, the common factors can be found like this.
914:2x 457
726:2x 3x 11x 11
552:2x 2x 2x 3x 23
748:2x 2x 11x 17
333:3x 3x 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 2x 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 91236312807552/(1x1584)
LCM = 91236312807552/1584
LCM = 57598682328
Thus, we can understand that the LCM of 914,726,552,748,333 is 57598682328.
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FAQs on LCM of 914, 726, 552, 748, 333
1. What is the LCM of 914, 726, 552, 748, 333?
Answer: LCM of 914, 726, 552, 748, 333 is 57598682328.
2. How to calculate the LCM of 914, 726, 552, 748, 333?
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 914, 726, 552, 748, 333.
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}.