LCM of 678, 168, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 168, 743 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, 168, 743. So, keep reading to learn more.
Given numbers are 678,168,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,168,743 is 14105112.
Find LCM of 678,168,743 with Prime Factorization
| 2 | 678, 168, 743 |
| 3 | 339, 84, 743 |
| 113, 28, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 28 x 743 = 14105112
Therefore, the lowest common multiple of 678,168,743 is 14105112.
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 168 x 743 = 84630672
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
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,168,743, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
168:2x 2x 2x 3x 7
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 84630672/(1x6)
LCM = 84630672/6
LCM = 14105112
Thus, we can understand that the LCM of 678,168,743 is 14105112.
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FAQs on LCM of 678, 168, 743
1. What is the LCM of 678, 168, 743?
Answer: LCM of 678, 168, 743 is 14105112.
2. How to calculate the LCM of 678, 168, 743?
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, 168, 743.
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}.