LCM of 282, 401, 504, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 401, 504, 674 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 282, 401, 504, 674. So, keep reading to learn more.
Given numbers are 282,401,504,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,401,504,674 is 3201125256.
Find LCM of 282,401,504,674 with Prime Factorization
| 2 | 282, 401, 504, 674 |
| 3 | 141, 401, 252, 337 |
| 47, 401, 84, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 401 x 84 x 337 = 3201125256
Therefore, the lowest common multiple of 282,401,504,674 is 3201125256.
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.
282 x 401 x 504 x 674 = 38413503072
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
401 : 1, 401
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,401,504,674, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
401:401
504:2x 2x 2x 3x 3x 7
674:2x 337
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 3 = 12
Therefore, the value for common factors is 12.
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 = 38413503072/(1x12)
LCM = 38413503072/12
LCM = 3201125256
Thus, we can understand that the LCM of 282,401,504,674 is 3201125256.
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FAQs on LCM of 282, 401, 504, 674
1. What is the LCM of 282, 401, 504, 674?
Answer: LCM of 282, 401, 504, 674 is 3201125256.
2. How to calculate the LCM of 282, 401, 504, 674?
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 282, 401, 504, 674.
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}.