LCM of 134, 229, 144, 108, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 229, 144, 108, 723 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, 229, 144, 108, 723. So, keep reading to learn more.
Given numbers are 134,229,144,108,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,229,144,108,723 is 1597390416.
Find LCM of 134,229,144,108,723 with Prime Factorization
| 2 | 134, 229, 144, 108, 723 |
| 2 | 67, 229, 72, 54, 723 |
| 3 | 67, 229, 36, 27, 723 |
| 3 | 67, 229, 12, 9, 241 |
| 67, 229, 4, 3, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 67 x 229 x 4 x 3 x 241 = 1597390416
Therefore, the lowest common multiple of 134,229,144,108,723 is 1597390416.
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 229 x 144 x 108 x 723 = 345036329856
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
229 : 1, 229
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,229,144,108,723, is 1.
Now, the common factors can be found like this.
134:2x 67
229:229
144:2x 2x 2x 2x 3x 3
108:2x 2x 3x 3x 3
723:3x 241
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 = 345036329856/(1x216)
LCM = 345036329856/216
LCM = 1597390416
Thus, we can understand that the LCM of 134,229,144,108,723 is 1597390416.
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FAQs on LCM of 134, 229, 144, 108, 723
1. What is the LCM of 134, 229, 144, 108, 723?
Answer: LCM of 134, 229, 144, 108, 723 is 1597390416.
2. How to calculate the LCM of 134, 229, 144, 108, 723?
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, 229, 144, 108, 723.
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}.