LCM of 678, 678, 933, 846, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 678, 933, 846, 358 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 678, 678, 933, 846, 358. So, keep reading to learn more.
Given numbers are 678,678,933,846,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,678,933,846,358 is 5321845062.
Find LCM of 678,678,933,846,358 with Prime Factorization
| 2 | 678, 678, 933, 846, 358 |
| 3 | 339, 339, 933, 423, 179 |
| 113 | 113, 113, 311, 141, 179 |
| 1, 1, 311, 141, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 1 x 1 x 311 x 141 x 179 = 5321845062
Therefore, the lowest common multiple of 678,678,933,846,358 is 5321845062.
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.
678 x 678 x 933 x 846 x 358 = 129895594273296
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
678 : 1, 2, 3, 6, 113, 226, 339, 678
933 : 1, 3, 311, 933
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,678,933,846,358, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
678:2x 3x 113
933:3x 311
846:2x 3x 3x 47
358:2x 179
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 3x 3x 3x 113 = 24408
Therefore, the value for common factors is 24408.
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 = 129895594273296/(1x24408)
LCM = 129895594273296/24408
LCM = 5321845062
Thus, we can understand that the LCM of 678,678,933,846,358 is 5321845062.
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FAQs on LCM of 678, 678, 933, 846, 358
1. What is the LCM of 678, 678, 933, 846, 358?
Answer: LCM of 678, 678, 933, 846, 358 is 5321845062.
2. How to calculate the LCM of 678, 678, 933, 846, 358?
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 678, 678, 933, 846, 358.
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}.