LCM of 108, 373, 713, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 373, 713, 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 108, 373, 713, 342. So, keep reading to learn more.
Given numbers are 108,373,713,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,373,713,342 is 545727348.
Find LCM of 108,373,713,342 with Prime Factorization
| 2 | 108, 373, 713, 342 |
| 3 | 54, 373, 713, 171 |
| 3 | 18, 373, 713, 57 |
| 6, 373, 713, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 6 x 373 x 713 x 19 = 545727348
Therefore, the lowest common multiple of 108,373,713,342 is 545727348.
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.
108 x 373 x 713 x 342 = 9823092264
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
373 : 1, 373
713 : 1, 23, 31, 713
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 108,373,713,342, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
373:373
713:23x 31
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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 9823092264/(1x18)
LCM = 9823092264/18
LCM = 545727348
Thus, we can understand that the LCM of 108,373,713,342 is 545727348.
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FAQs on LCM of 108, 373, 713, 342
1. What is the LCM of 108, 373, 713, 342?
Answer: LCM of 108, 373, 713, 342 is 545727348.
2. How to calculate the LCM of 108, 373, 713, 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 108, 373, 713, 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}.