Find the LCM of 794, 684, 776, 969, 418 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 794, 684, 776, 969, 418. So, keep reading to learn more.
Given numbers are 794,684,776,969,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,684,776,969,418 is 9851218344.
Find LCM of 794,684,776,969,418 with Prime Factorization
2 | 794, 684, 776, 969, 418 |
2 | 397, 342, 388, 969, 209 |
3 | 397, 171, 194, 969, 209 |
19 | 397, 57, 194, 323, 209 |
397, 3, 194, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 397 x 3 x 194 x 17 x 11 = 9851218344
Therefore, the lowest common multiple of 794,684,776,969,418 is 9851218344.
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.
794 x 684 x 776 x 969 x 418 = 170701911464832
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.
794 : 1, 2, 397, 794
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
776 : 1, 2, 4, 8, 97, 194, 388, 776
969 : 1, 3, 17, 19, 51, 57, 323, 969
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,684,776,969,418, is 1.
Now, the common factors can be found like this.
794:2x 397
684:2x 2x 3x 3x 19
776:2x 2x 2x 97
969:3x 17x 19
418:2x 11x 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 2x 3x 19x 19 = 17328
Therefore, the value for common factors is 17328.
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 = 170701911464832/(1x17328)
LCM = 170701911464832/17328
LCM = 9851218344
Thus, we can understand that the LCM of 794,684,776,969,418 is 9851218344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 794, 684, 776, 969, 418?
Answer: LCM of 794, 684, 776, 969, 418 is 9851218344.
2. How to calculate the LCM of 794, 684, 776, 969, 418?
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 794, 684, 776, 969, 418.
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}.