LCM of 119, 805, 207, 806, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 805, 207, 806, 780 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 119, 805, 207, 806, 780. So, keep reading to learn more.
Given numbers are 119,805,207,806,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,805,207,806,780 is 198541980.
Find LCM of 119,805,207,806,780 with Prime Factorization
| 2 | 119, 805, 207, 806, 780 |
| 3 | 119, 805, 207, 403, 390 |
| 5 | 119, 805, 69, 403, 130 |
| 7 | 119, 161, 69, 403, 26 |
| 13 | 17, 23, 69, 403, 26 |
| 23 | 17, 23, 69, 31, 2 |
| 17, 1, 3, 31, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 23 x 17 x 1 x 3 x 31 x 2 = 198541980
Therefore, the lowest common multiple of 119,805,207,806,780 is 198541980.
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.
119 x 805 x 207 x 806 x 780 = 12466450924200
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.
119 : 1, 7, 17, 119
805 : 1, 5, 7, 23, 35, 115, 161, 805
207 : 1, 3, 9, 23, 69, 207
806 : 1, 2, 13, 26, 31, 62, 403, 806
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,805,207,806,780, is 1.
Now, the common factors can be found like this.
119:7x 17
805:5x 7x 23
207:3x 3x 23
806:2x 13x 31
780:2x 2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 13x 23 = 62790
Therefore, the value for common factors is 62790.
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 = 12466450924200/(1x62790)
LCM = 12466450924200/62790
LCM = 198541980
Thus, we can understand that the LCM of 119,805,207,806,780 is 198541980.
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FAQs on LCM of 119, 805, 207, 806, 780
1. What is the LCM of 119, 805, 207, 806, 780?
Answer: LCM of 119, 805, 207, 806, 780 is 198541980.
2. How to calculate the LCM of 119, 805, 207, 806, 780?
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 119, 805, 207, 806, 780.
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}.