Find the LCM of 140, 246, 903, 489, 420 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 140, 246, 903, 489, 420. So, keep reading to learn more.
Given numbers are 140,246,903,489,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,246,903,489,420 is 120694980.
Find LCM of 140,246,903,489,420 with Prime Factorization
2 | 140, 246, 903, 489, 420 |
2 | 70, 123, 903, 489, 210 |
3 | 35, 123, 903, 489, 105 |
5 | 35, 41, 301, 163, 35 |
7 | 7, 41, 301, 163, 7 |
1, 41, 43, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 41 x 43 x 163 x 1 = 120694980
Therefore, the lowest common multiple of 140,246,903,489,420 is 120694980.
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.
140 x 246 x 903 x 489 x 420 = 6387178341600
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
246 : 1, 2, 3, 6, 41, 82, 123, 246
903 : 1, 3, 7, 21, 43, 129, 301, 903
489 : 1, 3, 163, 489
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,246,903,489,420, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
246:2x 3x 41
903:3x 7x 43
489:3x 163
420:2x 2x 3x 5x 7
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 3x 3x 3x 5x 7x 7 = 52920
Therefore, the value for common factors is 52920.
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 = 6387178341600/(1x52920)
LCM = 6387178341600/52920
LCM = 120694980
Thus, we can understand that the LCM of 140,246,903,489,420 is 120694980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 140, 246, 903, 489, 420?
Answer: LCM of 140, 246, 903, 489, 420 is 120694980.
2. How to calculate the LCM of 140, 246, 903, 489, 420?
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 140, 246, 903, 489, 420.
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}.