LCM of 291, 273, 304, 666, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 273, 304, 666, 918 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 291, 273, 304, 666, 918. So, keep reading to learn more.
Given numbers are 291,273,304,666,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,273,304,666,918 is 45572318064.
Find LCM of 291,273,304,666,918 with Prime Factorization
| 2 | 291, 273, 304, 666, 918 |
| 3 | 291, 273, 152, 333, 459 |
| 3 | 97, 91, 152, 111, 153 |
| 97, 91, 152, 37, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 97 x 91 x 152 x 37 x 51 = 45572318064
Therefore, the lowest common multiple of 291,273,304,666,918 is 45572318064.
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.
291 x 273 x 304 x 666 x 918 = 14765431052736
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.
291 : 1, 3, 97, 291
273 : 1, 3, 7, 13, 21, 39, 91, 273
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,273,304,666,918, is 1.
Now, the common factors can be found like this.
291:3x 97
273:3x 7x 13
304:2x 2x 2x 2x 19
666:2x 3x 3x 37
918:2x 3x 3x 3x 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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 14765431052736/(1x324)
LCM = 14765431052736/324
LCM = 45572318064
Thus, we can understand that the LCM of 291,273,304,666,918 is 45572318064.
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FAQs on LCM of 291, 273, 304, 666, 918
1. What is the LCM of 291, 273, 304, 666, 918?
Answer: LCM of 291, 273, 304, 666, 918 is 45572318064.
2. How to calculate the LCM of 291, 273, 304, 666, 918?
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 291, 273, 304, 666, 918.
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}.