LCM of 842, 219, 365, 397, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 219, 365, 397, 684 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 842, 219, 365, 397, 684. So, keep reading to learn more.
Given numbers are 842,219,365,397,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,219,365,397,684 is 41727423420.
Find LCM of 842,219,365,397,684 with Prime Factorization
| 2 | 842, 219, 365, 397, 684 |
| 3 | 421, 219, 365, 397, 342 |
| 73 | 421, 73, 365, 397, 114 |
| 421, 1, 5, 397, 114 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 421 x 1 x 5 x 397 x 114 = 41727423420
Therefore, the lowest common multiple of 842,219,365,397,684 is 41727423420.
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.
842 x 219 x 365 x 397 x 684 = 18276611457960
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.
842 : 1, 2, 421, 842
219 : 1, 3, 73, 219
365 : 1, 5, 73, 365
397 : 1, 397
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,219,365,397,684, is 1.
Now, the common factors can be found like this.
842:2x 421
219:3x 73
365:5x 73
397:397
684:2x 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 73 = 438
Therefore, the value for common factors is 438.
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 = 18276611457960/(1x438)
LCM = 18276611457960/438
LCM = 41727423420
Thus, we can understand that the LCM of 842,219,365,397,684 is 41727423420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 842, 219, 365, 397, 684
1. What is the LCM of 842, 219, 365, 397, 684?
Answer: LCM of 842, 219, 365, 397, 684 is 41727423420.
2. How to calculate the LCM of 842, 219, 365, 397, 684?
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 842, 219, 365, 397, 684.
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}.