LCM of 230, 268, 744, 834, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 268, 744, 834, 381 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 230, 268, 744, 834, 381. So, keep reading to learn more.
Given numbers are 230,268,744,834,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,268,744,834,381 is 101196175560.
Find LCM of 230,268,744,834,381 with Prime Factorization
| 2 | 230, 268, 744, 834, 381 |
| 2 | 115, 134, 372, 417, 381 |
| 3 | 115, 67, 186, 417, 381 |
| 115, 67, 62, 139, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 115 x 67 x 62 x 139 x 127 = 101196175560
Therefore, the lowest common multiple of 230,268,744,834,381 is 101196175560.
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.
230 x 268 x 744 x 834 x 381 = 14572249280640
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
268 : 1, 2, 4, 67, 134, 268
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
834 : 1, 2, 3, 6, 139, 278, 417, 834
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,268,744,834,381, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
268:2x 2x 67
744:2x 2x 2x 3x 31
834:2x 3x 139
381:3x 127
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 3 = 144
Therefore, the value for common factors is 144.
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 = 14572249280640/(1x144)
LCM = 14572249280640/144
LCM = 101196175560
Thus, we can understand that the LCM of 230,268,744,834,381 is 101196175560.
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FAQs on LCM of 230, 268, 744, 834, 381
1. What is the LCM of 230, 268, 744, 834, 381?
Answer: LCM of 230, 268, 744, 834, 381 is 101196175560.
2. How to calculate the LCM of 230, 268, 744, 834, 381?
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 230, 268, 744, 834, 381.
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}.