Find the LCM of 504, 512, 978, 225, 119 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 504, 512, 978, 225, 119. So, keep reading to learn more.
Given numbers are 504,512,978,225,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,512,978,225,119 is 2234534400.
Find LCM of 504,512,978,225,119 with Prime Factorization
2 | 504, 512, 978, 225, 119 |
2 | 252, 256, 489, 225, 119 |
2 | 126, 128, 489, 225, 119 |
3 | 63, 64, 489, 225, 119 |
3 | 21, 64, 163, 75, 119 |
7 | 7, 64, 163, 25, 119 |
1, 64, 163, 25, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 1 x 64 x 163 x 25 x 17 = 2234534400
Therefore, the lowest common multiple of 504,512,978,225,119 is 2234534400.
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.
504 x 512 x 978 x 225 x 119 = 6757232025600
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.
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
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
978 : 1, 2, 3, 6, 163, 326, 489, 978
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,512,978,225,119, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
512:2x 2x 2x 2x 2x 2x 2x 2x 2
978:2x 3x 163
225:3x 3x 5x 5
119:7x 17
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 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 6757232025600/(1x3024)
LCM = 6757232025600/3024
LCM = 2234534400
Thus, we can understand that the LCM of 504,512,978,225,119 is 2234534400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 504, 512, 978, 225, 119?
Answer: LCM of 504, 512, 978, 225, 119 is 2234534400.
2. How to calculate the LCM of 504, 512, 978, 225, 119?
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 504, 512, 978, 225, 119.
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}.