LCM of 759, 660, 537, 268, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 660, 537, 268, 592 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 759, 660, 537, 268, 592. So, keep reading to learn more.
Given numbers are 759,660,537,268,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,660,537,268,592 is 26943953520.
Find LCM of 759,660,537,268,592 with Prime Factorization
| 2 | 759, 660, 537, 268, 592 |
| 2 | 759, 330, 537, 134, 296 |
| 3 | 759, 165, 537, 67, 148 |
| 11 | 253, 55, 179, 67, 148 |
| 23, 5, 179, 67, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 5 x 179 x 67 x 148 = 26943953520
Therefore, the lowest common multiple of 759,660,537,268,592 is 26943953520.
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.
759 x 660 x 537 x 268 x 592 = 42679222375680
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
537 : 1, 3, 179, 537
268 : 1, 2, 4, 67, 134, 268
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,660,537,268,592, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
660:2x 2x 3x 5x 11
537:3x 179
268:2x 2x 67
592:2x 2x 2x 2x 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 = 42679222375680/(1x1584)
LCM = 42679222375680/1584
LCM = 26943953520
Thus, we can understand that the LCM of 759,660,537,268,592 is 26943953520.
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FAQs on LCM of 759, 660, 537, 268, 592
1. What is the LCM of 759, 660, 537, 268, 592?
Answer: LCM of 759, 660, 537, 268, 592 is 26943953520.
2. How to calculate the LCM of 759, 660, 537, 268, 592?
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 759, 660, 537, 268, 592.
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}.