LCM of 361, 442, 471, 493, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 442, 471, 493, 334 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 361, 442, 471, 493, 334. So, keep reading to learn more.
Given numbers are 361,442,471,493,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,442,471,493,334 is 363969378786.
Find LCM of 361,442,471,493,334 with Prime Factorization
| 2 | 361, 442, 471, 493, 334 |
| 17 | 361, 221, 471, 493, 167 |
| 361, 13, 471, 29, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 361 x 13 x 471 x 29 x 167 = 363969378786
Therefore, the lowest common multiple of 361,442,471,493,334 is 363969378786.
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.
361 x 442 x 471 x 493 x 334 = 12374958878724
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.
361 : 1, 19, 361
442 : 1, 2, 13, 17, 26, 34, 221, 442
471 : 1, 3, 157, 471
493 : 1, 17, 29, 493
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,442,471,493,334, is 1.
Now, the common factors can be found like this.
361:19x 19
442:2x 13x 17
471:3x 157
493:17x 29
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 12374958878724/(1x34)
LCM = 12374958878724/34
LCM = 363969378786
Thus, we can understand that the LCM of 361,442,471,493,334 is 363969378786.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 442, 471, 493, 334
1. What is the LCM of 361, 442, 471, 493, 334?
Answer: LCM of 361, 442, 471, 493, 334 is 363969378786.
2. How to calculate the LCM of 361, 442, 471, 493, 334?
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 361, 442, 471, 493, 334.
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}.