LCM of 263, 738, 362, 234, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 738, 362, 234, 684 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 263, 738, 362, 234, 684. So, keep reading to learn more.
Given numbers are 263,738,362,234,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,738,362,234,684 is 17354720916.
Find LCM of 263,738,362,234,684 with Prime Factorization
| 2 | 263, 738, 362, 234, 684 |
| 3 | 263, 369, 181, 117, 342 |
| 3 | 263, 123, 181, 39, 114 |
| 263, 41, 181, 13, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 263 x 41 x 181 x 13 x 38 = 17354720916
Therefore, the lowest common multiple of 263,738,362,234,684 is 17354720916.
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.
263 x 738 x 362 x 234 x 684 = 11245859153568
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.
263 : 1, 263
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
362 : 1, 2, 181, 362
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,738,362,234,684, is 1.
Now, the common factors can be found like this.
263:263
738:2x 3x 3x 41
362:2x 181
234:2x 3x 3x 13
684:2x 2x 3x 3x 19
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 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 11245859153568/(1x648)
LCM = 11245859153568/648
LCM = 17354720916
Thus, we can understand that the LCM of 263,738,362,234,684 is 17354720916.
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FAQs on LCM of 263, 738, 362, 234, 684
1. What is the LCM of 263, 738, 362, 234, 684?
Answer: LCM of 263, 738, 362, 234, 684 is 17354720916.
2. How to calculate the LCM of 263, 738, 362, 234, 684?
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 263, 738, 362, 234, 684.
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}.