LCM of 842, 588, 413, 163, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 588, 413, 163, 364 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, 588, 413, 163, 364. So, keep reading to learn more.
Given numbers are 842,588,413,163,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,588,413,163,364 is 30948698508.
Find LCM of 842,588,413,163,364 with Prime Factorization
| 2 | 842, 588, 413, 163, 364 |
| 2 | 421, 294, 413, 163, 182 |
| 7 | 421, 147, 413, 163, 91 |
| 421, 21, 59, 163, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 421 x 21 x 59 x 163 x 13 = 30948698508
Therefore, the lowest common multiple of 842,588,413,163,364 is 30948698508.
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 588 x 413 x 163 x 364 = 12131889815136
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
413 : 1, 7, 59, 413
163 : 1, 163
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,588,413,163,364, is 1.
Now, the common factors can be found like this.
842:2x 421
588:2x 2x 3x 7x 7
413:7x 59
163:163
364:2x 2x 7x 13
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 12131889815136/(1x392)
LCM = 12131889815136/392
LCM = 30948698508
Thus, we can understand that the LCM of 842,588,413,163,364 is 30948698508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 842, 588, 413, 163, 364
1. What is the LCM of 842, 588, 413, 163, 364?
Answer: LCM of 842, 588, 413, 163, 364 is 30948698508.
2. How to calculate the LCM of 842, 588, 413, 163, 364?
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, 588, 413, 163, 364.
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}.