LCM of 596, 778, 380, 686, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 778, 380, 686, 609 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 596, 778, 380, 686, 609. So, keep reading to learn more.
Given numbers are 596,778,380,686,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,778,380,686,609 is 657253396380.
Find LCM of 596,778,380,686,609 with Prime Factorization
| 2 | 596, 778, 380, 686, 609 |
| 2 | 298, 389, 190, 343, 609 |
| 7 | 149, 389, 95, 343, 609 |
| 149, 389, 95, 49, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 149 x 389 x 95 x 49 x 87 = 657253396380
Therefore, the lowest common multiple of 596,778,380,686,609 is 657253396380.
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.
596 x 778 x 380 x 686 x 609 = 73612380394560
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.
596 : 1, 2, 4, 149, 298, 596
778 : 1, 2, 389, 778
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
686 : 1, 2, 7, 14, 49, 98, 343, 686
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,778,380,686,609, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
778:2x 389
380:2x 2x 5x 19
686:2x 7x 7x 7
609:3x 7x 29
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 7 = 112
Therefore, the value for common factors is 112.
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 = 73612380394560/(1x112)
LCM = 73612380394560/112
LCM = 657253396380
Thus, we can understand that the LCM of 596,778,380,686,609 is 657253396380.
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FAQs on LCM of 596, 778, 380, 686, 609
1. What is the LCM of 596, 778, 380, 686, 609?
Answer: LCM of 596, 778, 380, 686, 609 is 657253396380.
2. How to calculate the LCM of 596, 778, 380, 686, 609?
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 596, 778, 380, 686, 609.
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}.