LCM of 914, 892, 567, 553, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 892, 567, 553, 648 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, 892, 567, 553, 648. So, keep reading to learn more.
Given numbers are 914,892,567,553,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,892,567,553,648 is 36519195384.
Find LCM of 914,892,567,553,648 with Prime Factorization
| 2 | 914, 892, 567, 553, 648 |
| 2 | 457, 446, 567, 553, 324 |
| 3 | 457, 223, 567, 553, 162 |
| 3 | 457, 223, 189, 553, 54 |
| 3 | 457, 223, 63, 553, 18 |
| 3 | 457, 223, 21, 553, 6 |
| 7 | 457, 223, 7, 553, 2 |
| 457, 223, 1, 79, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 7 x 457 x 223 x 1 x 79 x 2 = 36519195384
Therefore, the lowest common multiple of 914,892,567,553,648 is 36519195384.
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 892 x 567 x 553 x 648 = 165651070261824
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
892 : 1, 2, 4, 223, 446, 892
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
553 : 1, 7, 79, 553
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,892,567,553,648, is 1.
Now, the common factors can be found like this.
914:2x 457
892:2x 2x 223
567:3x 3x 3x 3x 7
553:7x 79
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3x 7 = 4536
Therefore, the value for common factors is 4536.
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 = 165651070261824/(1x4536)
LCM = 165651070261824/4536
LCM = 36519195384
Thus, we can understand that the LCM of 914,892,567,553,648 is 36519195384.
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FAQs on LCM of 914, 892, 567, 553, 648
1. What is the LCM of 914, 892, 567, 553, 648?
Answer: LCM of 914, 892, 567, 553, 648 is 36519195384.
2. How to calculate the LCM of 914, 892, 567, 553, 648?
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, 892, 567, 553, 648.
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}.