LCM of 779, 104, 655, 988, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 104, 655, 988, 200 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 779, 104, 655, 988, 200. So, keep reading to learn more.
Given numbers are 779,104,655,988,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,104,655,988,200 is 265327400.
Find LCM of 779,104,655,988,200 with Prime Factorization
| 2 | 779, 104, 655, 988, 200 |
| 2 | 779, 52, 655, 494, 100 |
| 2 | 779, 26, 655, 247, 50 |
| 5 | 779, 13, 655, 247, 25 |
| 13 | 779, 13, 131, 247, 5 |
| 19 | 779, 1, 131, 19, 5 |
| 41, 1, 131, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 19 x 41 x 1 x 131 x 1 x 5 = 265327400
Therefore, the lowest common multiple of 779,104,655,988,200 is 265327400.
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.
779 x 104 x 655 x 988 x 200 = 10485738848000
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.
779 : 1, 19, 41, 779
104 : 1, 2, 4, 8, 13, 26, 52, 104
655 : 1, 5, 131, 655
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,104,655,988,200, is 1.
Now, the common factors can be found like this.
779:19x 41
104:2x 2x 2x 13
655:5x 131
988:2x 2x 13x 19
200:2x 2x 2x 5x 5
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 2x 5x 13x 19 = 39520
Therefore, the value for common factors is 39520.
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 = 10485738848000/(1x39520)
LCM = 10485738848000/39520
LCM = 265327400
Thus, we can understand that the LCM of 779,104,655,988,200 is 265327400.
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FAQs on LCM of 779, 104, 655, 988, 200
1. What is the LCM of 779, 104, 655, 988, 200?
Answer: LCM of 779, 104, 655, 988, 200 is 265327400.
2. How to calculate the LCM of 779, 104, 655, 988, 200?
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 779, 104, 655, 988, 200.
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}.