Find the LCM of 676, 358, 846, 538, 678 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 676, 358, 846, 538, 678. So, keep reading to learn more.
Given numbers are 676,358,846,538,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,358,846,538,678 is 1555861082724.
Find LCM of 676,358,846,538,678 with Prime Factorization
2 | 676, 358, 846, 538, 678 |
3 | 338, 179, 423, 269, 339 |
338, 179, 141, 269, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 338 x 179 x 141 x 269 x 113 = 1555861082724
Therefore, the lowest common multiple of 676,358,846,538,678 is 1555861082724.
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.
676 x 358 x 846 x 538 x 678 = 74681331970752
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
358 : 1, 2, 179, 358
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
538 : 1, 2, 269, 538
678 : 1, 2, 3, 6, 113, 226, 339, 678
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,358,846,538,678, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
358:2x 179
846:2x 3x 3x 47
538:2x 269
678:2x 3x 113
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 3 = 24
Therefore, the value for common factors is 24.
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 = 74681331970752/(2x24)
LCM = 74681331970752/48
LCM = 1555861082724
Thus, we can understand that the LCM of 676,358,846,538,678 is 1555861082724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 358, 846, 538, 678?
Answer: LCM of 676, 358, 846, 538, 678 is 1555861082724.
2. How to calculate the LCM of 676, 358, 846, 538, 678?
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 676, 358, 846, 538, 678.
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}.