LCM of 790, 505, 209, 949, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 505, 209, 949, 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 790, 505, 209, 949, 780. So, keep reading to learn more.
Given numbers are 790,505,209,949,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,505,209,949,780 is 94953770340.
Find LCM of 790,505,209,949,780 with Prime Factorization
| 2 | 790, 505, 209, 949, 780 |
| 5 | 395, 505, 209, 949, 390 |
| 13 | 79, 101, 209, 949, 78 |
| 79, 101, 209, 73, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 79 x 101 x 209 x 73 x 6 = 94953770340
Therefore, the lowest common multiple of 790,505,209,949,780 is 94953770340.
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.
790 x 505 x 209 x 949 x 780 = 61719950721000
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
505 : 1, 5, 101, 505
209 : 1, 11, 19, 209
949 : 1, 13, 73, 949
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 790,505,209,949,780, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
505:5x 101
209:11x 19
949:13x 73
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 5x 5x 13 = 650
Therefore, the value for common factors is 650.
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 = 61719950721000/(1x650)
LCM = 61719950721000/650
LCM = 94953770340
Thus, we can understand that the LCM of 790,505,209,949,780 is 94953770340.
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FAQs on LCM of 790, 505, 209, 949, 780
1. What is the LCM of 790, 505, 209, 949, 780?
Answer: LCM of 790, 505, 209, 949, 780 is 94953770340.
2. How to calculate the LCM of 790, 505, 209, 949, 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 790, 505, 209, 949, 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}.