LCM of 380, 734, 272, 133, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 734, 272, 133, 272 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 380, 734, 272, 133, 272. So, keep reading to learn more.
Given numbers are 380,734,272,133,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,734,272,133,272 is 66382960.
Find LCM of 380,734,272,133,272 with Prime Factorization
| 2 | 380, 734, 272, 133, 272 |
| 2 | 190, 367, 136, 133, 136 |
| 2 | 95, 367, 68, 133, 68 |
| 2 | 95, 367, 34, 133, 34 |
| 17 | 95, 367, 17, 133, 17 |
| 19 | 95, 367, 1, 133, 1 |
| 5, 367, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 19 x 5 x 367 x 1 x 7 x 1 = 66382960
Therefore, the lowest common multiple of 380,734,272,133,272 is 66382960.
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.
380 x 734 x 272 x 133 x 272 = 2744537098240
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
734 : 1, 2, 367, 734
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
133 : 1, 7, 19, 133
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,734,272,133,272, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
734:2x 367
272:2x 2x 2x 2x 17
133:7x 19
272:2x 2x 2x 2x 17
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 2x 2x 2x 17x 19 = 41344
Therefore, the value for common factors is 41344.
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 = 2744537098240/(1x41344)
LCM = 2744537098240/41344
LCM = 66382960
Thus, we can understand that the LCM of 380,734,272,133,272 is 66382960.
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FAQs on LCM of 380, 734, 272, 133, 272
1. What is the LCM of 380, 734, 272, 133, 272?
Answer: LCM of 380, 734, 272, 133, 272 is 66382960.
2. How to calculate the LCM of 380, 734, 272, 133, 272?
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 380, 734, 272, 133, 272.
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}.