LCM of 992, 528, 644, 336, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 528, 644, 336, 759 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 992, 528, 644, 336, 759. So, keep reading to learn more.
Given numbers are 992,528,644,336,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,528,644,336,759 is 5270496.
Find LCM of 992,528,644,336,759 with Prime Factorization
| 2 | 992, 528, 644, 336, 759 |
| 2 | 496, 264, 322, 168, 759 |
| 2 | 248, 132, 161, 84, 759 |
| 2 | 124, 66, 161, 42, 759 |
| 3 | 62, 33, 161, 21, 759 |
| 7 | 62, 11, 161, 7, 253 |
| 11 | 62, 11, 23, 1, 253 |
| 23 | 62, 1, 23, 1, 23 |
| 62, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 11 x 23 x 62 x 1 x 1 x 1 x 1 = 5270496
Therefore, the lowest common multiple of 992,528,644,336,759 is 5270496.
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.
992 x 528 x 644 x 336 x 759 = 86022590201856
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,528,644,336,759, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
528:2x 2x 2x 2x 3x 11
644:2x 2x 7x 23
336:2x 2x 2x 2x 3x 7
759:3x 11x 23
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 2x 2x 2x 2x 2x 2x 3x 3x 7x 11x 23 = 16321536
Therefore, the value for common factors is 16321536.
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 = 86022590201856/(1x16321536)
LCM = 86022590201856/16321536
LCM = 5270496
Thus, we can understand that the LCM of 992,528,644,336,759 is 5270496.
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FAQs on LCM of 992, 528, 644, 336, 759
1. What is the LCM of 992, 528, 644, 336, 759?
Answer: LCM of 992, 528, 644, 336, 759 is 5270496.
2. How to calculate the LCM of 992, 528, 644, 336, 759?
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 992, 528, 644, 336, 759.
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}.