LCM of 779, 506, 680, 418, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 506, 680, 418, 858 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, 506, 680, 418, 858. So, keep reading to learn more.
Given numbers are 779,506,680,418,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,506,680,418,858 is 5226747240.
Find LCM of 779,506,680,418,858 with Prime Factorization
| 2 | 779, 506, 680, 418, 858 |
| 11 | 779, 253, 340, 209, 429 |
| 19 | 779, 23, 340, 19, 39 |
| 41, 23, 340, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 41 x 23 x 340 x 1 x 39 = 5226747240
Therefore, the lowest common multiple of 779,506,680,418,858 is 5226747240.
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 506 x 680 x 418 x 858 = 96130335238080
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
418 : 1, 2, 11, 19, 22, 38, 209, 418
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,506,680,418,858, is 1.
Now, the common factors can be found like this.
779:19x 41
506:2x 11x 23
680:2x 2x 2x 5x 17
418:2x 11x 19
858:2x 3x 11x 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 2x 2x 11x 11x 19 = 18392
Therefore, the value for common factors is 18392.
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 = 96130335238080/(1x18392)
LCM = 96130335238080/18392
LCM = 5226747240
Thus, we can understand that the LCM of 779,506,680,418,858 is 5226747240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 779, 506, 680, 418, 858
1. What is the LCM of 779, 506, 680, 418, 858?
Answer: LCM of 779, 506, 680, 418, 858 is 5226747240.
2. How to calculate the LCM of 779, 506, 680, 418, 858?
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, 506, 680, 418, 858.
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}.