LCM of 266, 132, 312, 308, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 132, 312, 308, 741 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, 132, 312, 308, 741. So, keep reading to learn more.
Given numbers are 266,132,312,308,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,132,312,308,741 is 456456.
Find LCM of 266,132,312,308,741 with Prime Factorization
| 2 | 266, 132, 312, 308, 741 |
| 2 | 133, 66, 156, 154, 741 |
| 3 | 133, 33, 78, 77, 741 |
| 7 | 133, 11, 26, 77, 247 |
| 11 | 19, 11, 26, 11, 247 |
| 13 | 19, 1, 26, 1, 247 |
| 19 | 19, 1, 2, 1, 19 |
| 1, 1, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 13 x 19 x 1 x 1 x 2 x 1 x 1 = 456456
Therefore, the lowest common multiple of 266,132,312,308,741 is 456456.
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 132 x 312 x 308 x 741 = 2500224959232
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,132,312,308,741, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
132:2x 2x 3x 11
312:2x 2x 2x 3x 13
308:2x 2x 7x 11
741:3x 13x 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 2x 2x 3x 3x 7x 11x 13x 19 = 5477472
Therefore, the value for common factors is 5477472.
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 = 2500224959232/(1x5477472)
LCM = 2500224959232/5477472
LCM = 456456
Thus, we can understand that the LCM of 266,132,312,308,741 is 456456.
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FAQs on LCM of 266, 132, 312, 308, 741
1. What is the LCM of 266, 132, 312, 308, 741?
Answer: LCM of 266, 132, 312, 308, 741 is 456456.
2. How to calculate the LCM of 266, 132, 312, 308, 741?
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, 132, 312, 308, 741.
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}.