LCM of 678, 716, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 716, 537 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, 716, 537. So, keep reading to learn more.
Given numbers are 678,716,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,716,537 is 242724.
Find LCM of 678,716,537 with Prime Factorization
| 2 | 678, 716, 537 |
| 3 | 339, 358, 537 |
| 179 | 113, 358, 179 |
| 113, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 113 x 2 x 1 = 242724
Therefore, the lowest common multiple of 678,716,537 is 242724.
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 716 x 537 = 260685576
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
716 : 1, 2, 4, 179, 358, 716
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,716,537, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
716:2x 2x 179
537:3x 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 3x 179 = 1074
Therefore, the value for common factors is 1074.
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 = 260685576/(1x1074)
LCM = 260685576/1074
LCM = 242724
Thus, we can understand that the LCM of 678,716,537 is 242724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 716, 537
1. What is the LCM of 678, 716, 537?
Answer: LCM of 678, 716, 537 is 242724.
2. How to calculate the LCM of 678, 716, 537?
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, 716, 537.
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}.