LCM of 134, 268, 590, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 268, 590, 745 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 134, 268, 590, 745. So, keep reading to learn more.
Given numbers are 134,268,590,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,268,590,745 is 11779940.
Find LCM of 134,268,590,745 with Prime Factorization
| 2 | 134, 268, 590, 745 |
| 5 | 67, 134, 295, 745 |
| 67 | 67, 134, 59, 149 |
| 1, 2, 59, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 1 x 2 x 59 x 149 = 11779940
Therefore, the lowest common multiple of 134,268,590,745 is 11779940.
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.
134 x 268 x 590 x 745 = 15785119600
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.
134 : 1, 2, 67, 134
268 : 1, 2, 4, 67, 134, 268
590 : 1, 2, 5, 10, 59, 118, 295, 590
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,268,590,745, is 1.
Now, the common factors can be found like this.
134:2x 67
268:2x 2x 67
590:2x 5x 59
745:5x 149
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 5x 67 = 1340
Therefore, the value for common factors is 1340.
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 = 15785119600/(1x1340)
LCM = 15785119600/1340
LCM = 11779940
Thus, we can understand that the LCM of 134,268,590,745 is 11779940.
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FAQs on LCM of 134, 268, 590, 745
1. What is the LCM of 134, 268, 590, 745?
Answer: LCM of 134, 268, 590, 745 is 11779940.
2. How to calculate the LCM of 134, 268, 590, 745?
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 134, 268, 590, 745.
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}.