LCM of 266, 741, 942, 747, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 741, 942, 747, 665 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 266, 741, 942, 747, 665. So, keep reading to learn more.
Given numbers are 266,741,942,747,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,741,942,747,665 is 2027753910.
Find LCM of 266,741,942,747,665 with Prime Factorization
| 2 | 266, 741, 942, 747, 665 |
| 3 | 133, 741, 471, 747, 665 |
| 7 | 133, 247, 157, 249, 665 |
| 19 | 19, 247, 157, 249, 95 |
| 1, 13, 157, 249, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 1 x 13 x 157 x 249 x 5 = 2027753910
Therefore, the lowest common multiple of 266,741,942,747,665 is 2027753910.
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.
266 x 741 x 942 x 747 x 665 = 92234414350260
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
741 : 1, 3, 13, 19, 39, 57, 247, 741
942 : 1, 2, 3, 6, 157, 314, 471, 942
747 : 1, 3, 9, 83, 249, 747
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,741,942,747,665, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
741:3x 13x 19
942:2x 3x 157
747:3x 3x 83
665:5x 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 3x 3x 7x 19x 19 = 45486
Therefore, the value for common factors is 45486.
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 = 92234414350260/(1x45486)
LCM = 92234414350260/45486
LCM = 2027753910
Thus, we can understand that the LCM of 266,741,942,747,665 is 2027753910.
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FAQs on LCM of 266, 741, 942, 747, 665
1. What is the LCM of 266, 741, 942, 747, 665?
Answer: LCM of 266, 741, 942, 747, 665 is 2027753910.
2. How to calculate the LCM of 266, 741, 942, 747, 665?
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 266, 741, 942, 747, 665.
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}.