LCM of 738, 182, 494, 342, 292
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 182, 494, 342, 292 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 738, 182, 494, 342, 292. So, keep reading to learn more.
Given numbers are 738,182,494,342,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,182,494,342,292 is 186296292.
Find LCM of 738,182,494,342,292 with Prime Factorization
| 2 | 738, 182, 494, 342, 292 |
| 3 | 369, 91, 247, 171, 146 |
| 3 | 123, 91, 247, 57, 146 |
| 13 | 41, 91, 247, 19, 146 |
| 19 | 41, 7, 19, 19, 146 |
| 41, 7, 1, 1, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 19 x 41 x 7 x 1 x 1 x 146 = 186296292
Therefore, the lowest common multiple of 738,182,494,342,292 is 186296292.
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.
738 x 182 x 494 x 342 x 292 = 6626186513856
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
182 : 1, 2, 7, 13, 14, 26, 91, 182
494 : 1, 2, 13, 19, 26, 38, 247, 494
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
292 : 1, 2, 4, 73, 146, 292
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,182,494,342,292, is 2.
Now, the common factors can be found like this.
738:2x 3x 3x 41
182:2x 7x 13
494:2x 13x 19
342:2x 3x 3x 19
292:2x 2x 73
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 3x 3x 13x 19 = 17784
Therefore, the value for common factors is 17784.
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 = 6626186513856/(2x17784)
LCM = 6626186513856/35568
LCM = 186296292
Thus, we can understand that the LCM of 738,182,494,342,292 is 186296292.
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FAQs on LCM of 738, 182, 494, 342, 292
1. What is the LCM of 738, 182, 494, 342, 292?
Answer: LCM of 738, 182, 494, 342, 292 is 186296292.
2. How to calculate the LCM of 738, 182, 494, 342, 292?
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 738, 182, 494, 342, 292.
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}.