LCM of 779, 435, 904, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 435, 904, 760 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, 435, 904, 760. So, keep reading to learn more.
Given numbers are 779,435,904,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,435,904,760 is 306333960.
Find LCM of 779,435,904,760 with Prime Factorization
| 2 | 779, 435, 904, 760 |
| 2 | 779, 435, 452, 380 |
| 2 | 779, 435, 226, 190 |
| 5 | 779, 435, 113, 95 |
| 19 | 779, 87, 113, 19 |
| 41, 87, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 41 x 87 x 113 x 1 = 306333960
Therefore, the lowest common multiple of 779,435,904,760 is 306333960.
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 435 x 904 x 760 = 232813809600
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
435 : 1, 3, 5, 15, 29, 87, 145, 435
904 : 1, 2, 4, 8, 113, 226, 452, 904
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,435,904,760, is 1.
Now, the common factors can be found like this.
779:19x 41
435:3x 5x 29
904:2x 2x 2x 113
760:2x 2x 2x 5x 19
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 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 232813809600/(1x760)
LCM = 232813809600/760
LCM = 306333960
Thus, we can understand that the LCM of 779,435,904,760 is 306333960.
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FAQs on LCM of 779, 435, 904, 760
1. What is the LCM of 779, 435, 904, 760?
Answer: LCM of 779, 435, 904, 760 is 306333960.
2. How to calculate the LCM of 779, 435, 904, 760?
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, 435, 904, 760.
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}.