LCM of 315, 266, 660, 909, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 266, 660, 909, 588 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 315, 266, 660, 909, 588. So, keep reading to learn more.
Given numbers are 315,266,660,909,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,266,660,909,588 is 186181380.
Find LCM of 315,266,660,909,588 with Prime Factorization
| 2 | 315, 266, 660, 909, 588 |
| 2 | 315, 133, 330, 909, 294 |
| 3 | 315, 133, 165, 909, 147 |
| 3 | 105, 133, 55, 303, 49 |
| 5 | 35, 133, 55, 101, 49 |
| 7 | 7, 133, 11, 101, 49 |
| 1, 19, 11, 101, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 1 x 19 x 11 x 101 x 7 = 186181380
Therefore, the lowest common multiple of 315,266,660,909,588 is 186181380.
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.
315 x 266 x 660 x 909 x 588 = 29558155888800
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
266 : 1, 2, 7, 14, 19, 38, 133, 266
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
909 : 1, 3, 9, 101, 303, 909
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,266,660,909,588, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
266:2x 7x 19
660:2x 2x 3x 5x 11
909:3x 3x 101
588:2x 2x 3x 7x 7
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 3x 3x 3x 3x 5x 7x 7 = 158760
Therefore, the value for common factors is 158760.
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 = 29558155888800/(1x158760)
LCM = 29558155888800/158760
LCM = 186181380
Thus, we can understand that the LCM of 315,266,660,909,588 is 186181380.
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FAQs on LCM of 315, 266, 660, 909, 588
1. What is the LCM of 315, 266, 660, 909, 588?
Answer: LCM of 315, 266, 660, 909, 588 is 186181380.
2. How to calculate the LCM of 315, 266, 660, 909, 588?
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 315, 266, 660, 909, 588.
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}.