LCM of 391, 418, 220, 209, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 418, 220, 209, 668 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 391, 418, 220, 209, 668. So, keep reading to learn more.
Given numbers are 391,418,220,209,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,418,220,209,668 is 272941460.
Find LCM of 391,418,220,209,668 with Prime Factorization
| 2 | 391, 418, 220, 209, 668 |
| 2 | 391, 209, 110, 209, 334 |
| 11 | 391, 209, 55, 209, 167 |
| 19 | 391, 19, 5, 19, 167 |
| 391, 1, 5, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 391 x 1 x 5 x 1 x 167 = 272941460
Therefore, the lowest common multiple of 391,418,220,209,668 is 272941460.
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.
391 x 418 x 220 x 209 x 668 = 5019939332320
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.
391 : 1, 17, 23, 391
418 : 1, 2, 11, 19, 22, 38, 209, 418
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
209 : 1, 11, 19, 209
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,418,220,209,668, is 1.
Now, the common factors can be found like this.
391:17x 23
418:2x 11x 19
220:2x 2x 5x 11
209:11x 19
668:2x 2x 167
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 19 = 18392
Therefore, the value for common factors is 18392.
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 = 5019939332320/(1x18392)
LCM = 5019939332320/18392
LCM = 272941460
Thus, we can understand that the LCM of 391,418,220,209,668 is 272941460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 418, 220, 209, 668
1. What is the LCM of 391, 418, 220, 209, 668?
Answer: LCM of 391, 418, 220, 209, 668 is 272941460.
2. How to calculate the LCM of 391, 418, 220, 209, 668?
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 391, 418, 220, 209, 668.
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}.