LCM of 353, 598, 414, 442, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 598, 414, 442, 421 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 353, 598, 414, 442, 421. So, keep reading to learn more.
Given numbers are 353,598,414,442,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,598,414,442,421 is 13597197822.
Find LCM of 353,598,414,442,421 with Prime Factorization
| 2 | 353, 598, 414, 442, 421 |
| 13 | 353, 299, 207, 221, 421 |
| 23 | 353, 23, 207, 17, 421 |
| 353, 1, 9, 17, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 353 x 1 x 9 x 17 x 421 = 13597197822
Therefore, the lowest common multiple of 353,598,414,442,421 is 13597197822.
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.
353 x 598 x 414 x 442 x 421 = 16262248595112
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.
353 : 1, 353
598 : 1, 2, 13, 23, 26, 46, 299, 598
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
442 : 1, 2, 13, 17, 26, 34, 221, 442
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,598,414,442,421, is 1.
Now, the common factors can be found like this.
353:353
598:2x 13x 23
414:2x 3x 3x 23
442:2x 13x 17
421:421
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 16262248595112/(1x1196)
LCM = 16262248595112/1196
LCM = 13597197822
Thus, we can understand that the LCM of 353,598,414,442,421 is 13597197822.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 353, 598, 414, 442, 421
1. What is the LCM of 353, 598, 414, 442, 421?
Answer: LCM of 353, 598, 414, 442, 421 is 13597197822.
2. How to calculate the LCM of 353, 598, 414, 442, 421?
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 353, 598, 414, 442, 421.
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}.