Find the LCM of 678, 342, 716, 858, 348 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, 342, 716, 858, 348. So, keep reading to learn more.
Given numbers are 678,342,716,858,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,342,716,858,348 is 57374856396.
Find LCM of 678,342,716,858,348 with Prime Factorization
2 | 678, 342, 716, 858, 348 |
2 | 339, 171, 358, 429, 174 |
3 | 339, 171, 179, 429, 87 |
113, 57, 179, 143, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 57 x 179 x 143 x 29 = 57374856396
Therefore, the lowest common multiple of 678,342,716,858,348 is 57374856396.
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 342 x 716 x 858 x 348 = 49571875926144
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
716 : 1, 2, 4, 179, 358, 716
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,342,716,858,348, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
342:2x 3x 3x 19
716:2x 2x 179
858:2x 3x 11x 13
348:2x 2x 3x 29
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 49571875926144/(2x432)
LCM = 49571875926144/864
LCM = 57374856396
Thus, we can understand that the LCM of 678,342,716,858,348 is 57374856396.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 342, 716, 858, 348?
Answer: LCM of 678, 342, 716, 858, 348 is 57374856396.
2. How to calculate the LCM of 678, 342, 716, 858, 348?
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, 342, 716, 858, 348.
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}.