Find the LCM of 514, 250, 465, 700, 120 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 514, 250, 465, 700, 120. So, keep reading to learn more.
Given numbers are 514,250,465,700,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,250,465,700,120 is 167307000.
Find LCM of 514,250,465,700,120 with Prime Factorization
2 | 514, 250, 465, 700, 120 |
2 | 257, 125, 465, 350, 60 |
3 | 257, 125, 465, 175, 30 |
5 | 257, 125, 155, 175, 10 |
5 | 257, 25, 31, 35, 2 |
257, 5, 31, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 257 x 5 x 31 x 7 x 2 = 167307000
Therefore, the lowest common multiple of 514,250,465,700,120 is 167307000.
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.
514 x 250 x 465 x 700 x 120 = 5019210000000
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.
514 : 1, 2, 257, 514
250 : 1, 2, 5, 10, 25, 50, 125, 250
465 : 1, 3, 5, 15, 31, 93, 155, 465
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,250,465,700,120, is 1.
Now, the common factors can be found like this.
514:2x 257
250:2x 5x 5x 5
465:3x 5x 31
700:2x 2x 5x 5x 7
120:2x 2x 2x 3x 5
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 5x 5x 5x 5 = 30000
Therefore, the value for common factors is 30000.
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 = 5019210000000/(1x30000)
LCM = 5019210000000/30000
LCM = 167307000
Thus, we can understand that the LCM of 514,250,465,700,120 is 167307000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 250, 465, 700, 120?
Answer: LCM of 514, 250, 465, 700, 120 is 167307000.
2. How to calculate the LCM of 514, 250, 465, 700, 120?
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 514, 250, 465, 700, 120.
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}.