LCM of 378, 171, 335, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 171, 335, 494 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 378, 171, 335, 494. So, keep reading to learn more.
Given numbers are 378,171,335,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,171,335,494 is 31277610.
Find LCM of 378,171,335,494 with Prime Factorization
| 2 | 378, 171, 335, 494 |
| 3 | 189, 171, 335, 247 |
| 3 | 63, 57, 335, 247 |
| 19 | 21, 19, 335, 247 |
| 21, 1, 335, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 21 x 1 x 335 x 13 = 31277610
Therefore, the lowest common multiple of 378,171,335,494 is 31277610.
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.
378 x 171 x 335 x 494 = 10696942620
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
171 : 1, 3, 9, 19, 57, 171
335 : 1, 5, 67, 335
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,171,335,494, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
171:3x 3x 19
335:5x 67
494:2x 13x 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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 10696942620/(1x342)
LCM = 10696942620/342
LCM = 31277610
Thus, we can understand that the LCM of 378,171,335,494 is 31277610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 378, 171, 335, 494
1. What is the LCM of 378, 171, 335, 494?
Answer: LCM of 378, 171, 335, 494 is 31277610.
2. How to calculate the LCM of 378, 171, 335, 494?
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 378, 171, 335, 494.
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}.