LCM of 292, 494, 642, 353, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 494, 642, 353, 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 292, 494, 642, 353, 342. So, keep reading to learn more.
Given numbers are 292,494,642,353,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,494,642,353,342 is 24517760436.
Find LCM of 292,494,642,353,342 with Prime Factorization
| 2 | 292, 494, 642, 353, 342 |
| 3 | 146, 247, 321, 353, 171 |
| 19 | 146, 247, 107, 353, 57 |
| 146, 13, 107, 353, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 146 x 13 x 107 x 353 x 3 = 24517760436
Therefore, the lowest common multiple of 292,494,642,353,342 is 24517760436.
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.
292 x 494 x 642 x 353 x 342 = 11180098758816
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.
292 : 1, 2, 4, 73, 146, 292
494 : 1, 2, 13, 19, 26, 38, 247, 494
642 : 1, 2, 3, 6, 107, 214, 321, 642
353 : 1, 353
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 292,494,642,353,342, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
494:2x 13x 19
642:2x 3x 107
353:353
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 11180098758816/(1x456)
LCM = 11180098758816/456
LCM = 24517760436
Thus, we can understand that the LCM of 292,494,642,353,342 is 24517760436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 494, 642, 353, 342
1. What is the LCM of 292, 494, 642, 353, 342?
Answer: LCM of 292, 494, 642, 353, 342 is 24517760436.
2. How to calculate the LCM of 292, 494, 642, 353, 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 292, 494, 642, 353, 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}.