LCM of 460, 407, 814, 209, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 407, 814, 209, 264 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 460, 407, 814, 209, 264. So, keep reading to learn more.
Given numbers are 460,407,814,209,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,407,814,209,264 is 21343080.
Find LCM of 460,407,814,209,264 with Prime Factorization
| 2 | 460, 407, 814, 209, 264 |
| 2 | 230, 407, 407, 209, 132 |
| 11 | 115, 407, 407, 209, 66 |
| 37 | 115, 37, 37, 19, 6 |
| 115, 1, 1, 19, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 115 x 1 x 1 x 19 x 6 = 21343080
Therefore, the lowest common multiple of 460,407,814,209,264 is 21343080.
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.
460 x 407 x 814 x 209 x 264 = 8408661286080
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
407 : 1, 11, 37, 407
814 : 1, 2, 11, 22, 37, 74, 407, 814
209 : 1, 11, 19, 209
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,407,814,209,264, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
407:11x 37
814:2x 11x 37
209:11x 19
264:2x 2x 2x 3x 11
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 11x 11x 11x 37 = 393976
Therefore, the value for common factors is 393976.
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 = 8408661286080/(1x393976)
LCM = 8408661286080/393976
LCM = 21343080
Thus, we can understand that the LCM of 460,407,814,209,264 is 21343080.
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FAQs on LCM of 460, 407, 814, 209, 264
1. What is the LCM of 460, 407, 814, 209, 264?
Answer: LCM of 460, 407, 814, 209, 264 is 21343080.
2. How to calculate the LCM of 460, 407, 814, 209, 264?
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 460, 407, 814, 209, 264.
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}.