LCM of 380, 949, 532, 601, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 949, 532, 601, 266 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, 949, 532, 601, 266. So, keep reading to learn more.
Given numbers are 380,949,532,601,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,949,532,601,266 is 1517128340.
Find LCM of 380,949,532,601,266 with Prime Factorization
| 2 | 380, 949, 532, 601, 266 |
| 2 | 190, 949, 266, 601, 133 |
| 7 | 95, 949, 133, 601, 133 |
| 19 | 95, 949, 19, 601, 19 |
| 5, 949, 1, 601, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 5 x 949 x 1 x 601 x 1 = 1517128340
Therefore, the lowest common multiple of 380,949,532,601,266 is 1517128340.
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 949 x 532 x 601 x 266 = 30670266521440
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
949 : 1, 13, 73, 949
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
601 : 1, 601
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,949,532,601,266, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
949:13x 73
532:2x 2x 7x 19
601:601
266:2x 7x 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 7x 19x 19 = 20216
Therefore, the value for common factors is 20216.
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 = 30670266521440/(1x20216)
LCM = 30670266521440/20216
LCM = 1517128340
Thus, we can understand that the LCM of 380,949,532,601,266 is 1517128340.
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FAQs on LCM of 380, 949, 532, 601, 266
1. What is the LCM of 380, 949, 532, 601, 266?
Answer: LCM of 380, 949, 532, 601, 266 is 1517128340.
2. How to calculate the LCM of 380, 949, 532, 601, 266?
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, 949, 532, 601, 266.
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}.