LCM of 262, 756, 548, 319, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 756, 548, 319, 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 262, 756, 548, 319, 592. So, keep reading to learn more.
Given numbers are 262,756,548,319,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,756,548,319,592 is 640569205584.
Find LCM of 262,756,548,319,592 with Prime Factorization
| 2 | 262, 756, 548, 319, 592 |
| 2 | 131, 378, 274, 319, 296 |
| 131, 189, 137, 319, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 189 x 137 x 319 x 148 = 640569205584
Therefore, the lowest common multiple of 262,756,548,319,592 is 640569205584.
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.
262 x 756 x 548 x 319 x 592 = 20498214578688
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.
262 : 1, 2, 131, 262
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
548 : 1, 2, 4, 137, 274, 548
319 : 1, 11, 29, 319
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 262,756,548,319,592, is 1.
Now, the common factors can be found like this.
262:2x 131
756:2x 2x 3x 3x 3x 7
548:2x 2x 137
319:11x 29
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 2 = 32
Therefore, the value for common factors is 32.
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 = 20498214578688/(1x32)
LCM = 20498214578688/32
LCM = 640569205584
Thus, we can understand that the LCM of 262,756,548,319,592 is 640569205584.
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FAQs on LCM of 262, 756, 548, 319, 592
1. What is the LCM of 262, 756, 548, 319, 592?
Answer: LCM of 262, 756, 548, 319, 592 is 640569205584.
2. How to calculate the LCM of 262, 756, 548, 319, 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 262, 756, 548, 319, 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}.