LCM of 712, 312, 345, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 312, 345, 342 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 712, 312, 345, 342. So, keep reading to learn more.
Given numbers are 712,312,345,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,312,345,342 is 182019240.
Find LCM of 712,312,345,342 with Prime Factorization
| 2 | 712, 312, 345, 342 |
| 2 | 356, 156, 345, 171 |
| 2 | 178, 78, 345, 171 |
| 3 | 89, 39, 345, 171 |
| 89, 13, 115, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 89 x 13 x 115 x 57 = 182019240
Therefore, the lowest common multiple of 712,312,345,342 is 182019240.
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.
712 x 312 x 345 x 342 = 26210770560
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
345 : 1, 3, 5, 15, 23, 69, 115, 345
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,312,345,342, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
312:2x 2x 2x 3x 13
345:3x 5x 23
342:2x 3x 3x 19
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 3 = 144
Therefore, the value for common factors is 144.
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 = 26210770560/(1x144)
LCM = 26210770560/144
LCM = 182019240
Thus, we can understand that the LCM of 712,312,345,342 is 182019240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 712, 312, 345, 342
1. What is the LCM of 712, 312, 345, 342?
Answer: LCM of 712, 312, 345, 342 is 182019240.
2. How to calculate the LCM of 712, 312, 345, 342?
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 712, 312, 345, 342.
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}.