LCM of 678, 624, 392, 338, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 624, 392, 338, 686 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, 624, 392, 338, 686. So, keep reading to learn more.
Given numbers are 678,624,392,338,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,624,392,338,686 is 314413008.
Find LCM of 678,624,392,338,686 with Prime Factorization
| 2 | 678, 624, 392, 338, 686 |
| 2 | 339, 312, 196, 169, 343 |
| 2 | 339, 156, 98, 169, 343 |
| 3 | 339, 78, 49, 169, 343 |
| 7 | 113, 26, 49, 169, 343 |
| 7 | 113, 26, 7, 169, 49 |
| 13 | 113, 26, 1, 169, 7 |
| 113, 2, 1, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 7 x 13 x 113 x 2 x 1 x 13 x 7 = 314413008
Therefore, the lowest common multiple of 678,624,392,338,686 is 314413008.
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 624 x 392 x 338 x 686 = 38453968530432
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
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
338 : 1, 2, 13, 26, 169, 338
686 : 1, 2, 7, 14, 49, 98, 343, 686
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,624,392,338,686, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
624:2x 2x 2x 2x 3x 13
392:2x 2x 2x 7x 7
338:2x 13x 13
686:2x 7x 7x 7
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 2x 3x 7x 7x 13 = 61152
Therefore, the value for common factors is 61152.
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 = 38453968530432/(2x61152)
LCM = 38453968530432/122304
LCM = 314413008
Thus, we can understand that the LCM of 678,624,392,338,686 is 314413008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 624, 392, 338, 686
1. What is the LCM of 678, 624, 392, 338, 686?
Answer: LCM of 678, 624, 392, 338, 686 is 314413008.
2. How to calculate the LCM of 678, 624, 392, 338, 686?
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, 624, 392, 338, 686.
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}.