LCM of 717, 678, 114, 239, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 678, 114, 239, 874 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 717, 678, 114, 239, 874. So, keep reading to learn more.
Given numbers are 717,678,114,239,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,678,114,239,874 is 70812354.
Find LCM of 717,678,114,239,874 with Prime Factorization
| 2 | 717, 678, 114, 239, 874 |
| 3 | 717, 339, 57, 239, 437 |
| 19 | 239, 113, 19, 239, 437 |
| 239 | 239, 113, 1, 239, 23 |
| 1, 113, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 239 x 1 x 113 x 1 x 1 x 23 = 70812354
Therefore, the lowest common multiple of 717,678,114,239,874 is 70812354.
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.
717 x 678 x 114 x 239 x 874 = 11576120382504
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.
717 : 1, 3, 239, 717
678 : 1, 2, 3, 6, 113, 226, 339, 678
114 : 1, 2, 3, 6, 19, 38, 57, 114
239 : 1, 239
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,678,114,239,874, is 1.
Now, the common factors can be found like this.
717:3x 239
678:2x 3x 113
114:2x 3x 19
239:239
874:2x 19x 23
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 3x 3x 19x 239 = 163476
Therefore, the value for common factors is 163476.
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 = 11576120382504/(1x163476)
LCM = 11576120382504/163476
LCM = 70812354
Thus, we can understand that the LCM of 717,678,114,239,874 is 70812354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 678, 114, 239, 874
1. What is the LCM of 717, 678, 114, 239, 874?
Answer: LCM of 717, 678, 114, 239, 874 is 70812354.
2. How to calculate the LCM of 717, 678, 114, 239, 874?
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 717, 678, 114, 239, 874.
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}.