LCM of 209, 668, 624, 938, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 668, 624, 938, 806 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 209, 668, 624, 938, 806. So, keep reading to learn more.
Given numbers are 209,668,624,938,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,668,624,938,806 is 316651743408.
Find LCM of 209,668,624,938,806 with Prime Factorization
| 2 | 209, 668, 624, 938, 806 |
| 2 | 209, 334, 312, 469, 403 |
| 13 | 209, 167, 156, 469, 403 |
| 209, 167, 12, 469, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 209 x 167 x 12 x 469 x 31 = 316651743408
Therefore, the lowest common multiple of 209,668,624,938,806 is 316651743408.
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.
209 x 668 x 624 x 938 x 806 = 65863562628864
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.
209 : 1, 11, 19, 209
668 : 1, 2, 4, 167, 334, 668
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
938 : 1, 2, 7, 14, 67, 134, 469, 938
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,668,624,938,806, is 1.
Now, the common factors can be found like this.
209:11x 19
668:2x 2x 167
624:2x 2x 2x 2x 3x 13
938:2x 7x 67
806:2x 13x 31
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 13 = 208
Therefore, the value for common factors is 208.
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 = 65863562628864/(1x208)
LCM = 65863562628864/208
LCM = 316651743408
Thus, we can understand that the LCM of 209,668,624,938,806 is 316651743408.
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FAQs on LCM of 209, 668, 624, 938, 806
1. What is the LCM of 209, 668, 624, 938, 806?
Answer: LCM of 209, 668, 624, 938, 806 is 316651743408.
2. How to calculate the LCM of 209, 668, 624, 938, 806?
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 209, 668, 624, 938, 806.
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}.