LCM of 248, 405, 862, 423, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 405, 862, 423, 708 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 248, 405, 862, 423, 708. So, keep reading to learn more.
Given numbers are 248,405,862,423,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,405,862,423,708 is 120042171720.
Find LCM of 248,405,862,423,708 with Prime Factorization
| 2 | 248, 405, 862, 423, 708 |
| 2 | 124, 405, 431, 423, 354 |
| 3 | 62, 405, 431, 423, 177 |
| 3 | 62, 135, 431, 141, 59 |
| 62, 45, 431, 47, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 62 x 45 x 431 x 47 x 59 = 120042171720
Therefore, the lowest common multiple of 248,405,862,423,708 is 120042171720.
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.
248 x 405 x 862 x 423 x 708 = 25929109091520
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
862 : 1, 2, 431, 862
423 : 1, 3, 9, 47, 141, 423
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,405,862,423,708, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
405:3x 3x 3x 3x 5
862:2x 431
423:3x 3x 47
708:2x 2x 3x 59
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 3 = 216
Therefore, the value for common factors is 216.
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 = 25929109091520/(1x216)
LCM = 25929109091520/216
LCM = 120042171720
Thus, we can understand that the LCM of 248,405,862,423,708 is 120042171720.
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FAQs on LCM of 248, 405, 862, 423, 708
1. What is the LCM of 248, 405, 862, 423, 708?
Answer: LCM of 248, 405, 862, 423, 708 is 120042171720.
2. How to calculate the LCM of 248, 405, 862, 423, 708?
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 248, 405, 862, 423, 708.
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}.