LCM of 648, 275, 592, 342, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 275, 592, 342, 874 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 648, 275, 592, 342, 874. So, keep reading to learn more.
Given numbers are 648,275,592,342,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,275,592,342,874 is 5762631600.
Find LCM of 648,275,592,342,874 with Prime Factorization
| 2 | 648, 275, 592, 342, 874 |
| 2 | 324, 275, 296, 171, 437 |
| 2 | 162, 275, 148, 171, 437 |
| 3 | 81, 275, 74, 171, 437 |
| 3 | 27, 275, 74, 57, 437 |
| 19 | 9, 275, 74, 19, 437 |
| 9, 275, 74, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 19 x 9 x 275 x 74 x 1 x 23 = 5762631600
Therefore, the lowest common multiple of 648,275,592,342,874 is 5762631600.
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.
648 x 275 x 592 x 342 x 874 = 31533120115200
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
275 : 1, 5, 11, 25, 55, 275
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,275,592,342,874, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
275:5x 5x 11
592:2x 2x 2x 2x 37
342:2x 3x 3x 19
874:2x 19x 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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 31533120115200/(1x5472)
LCM = 31533120115200/5472
LCM = 5762631600
Thus, we can understand that the LCM of 648,275,592,342,874 is 5762631600.
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FAQs on LCM of 648, 275, 592, 342, 874
1. What is the LCM of 648, 275, 592, 342, 874?
Answer: LCM of 648, 275, 592, 342, 874 is 5762631600.
2. How to calculate the LCM of 648, 275, 592, 342, 874?
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 648, 275, 592, 342, 874.
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}.