Find the LCM of 720, 453, 579, 755, 350 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 720, 453, 579, 755, 350. So, keep reading to learn more.
Given numbers are 720,453,579,755,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,453,579,755,350 is 734403600.
Find LCM of 720,453,579,755,350 with Prime Factorization
2 | 720, 453, 579, 755, 350 |
3 | 360, 453, 579, 755, 175 |
5 | 120, 151, 193, 755, 175 |
151 | 24, 151, 193, 151, 35 |
24, 1, 193, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 151 x 24 x 1 x 193 x 1 x 35 = 734403600
Therefore, the lowest common multiple of 720,453,579,755,350 is 734403600.
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.
720 x 453 x 579 x 755 x 350 = 49902724620000
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
453 : 1, 3, 151, 453
579 : 1, 3, 193, 579
755 : 1, 5, 151, 755
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,453,579,755,350, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
453:3x 151
579:3x 193
755:5x 151
350:2x 5x 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 3x 3x 5x 5x 151 = 67950
Therefore, the value for common factors is 67950.
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 = 49902724620000/(1x67950)
LCM = 49902724620000/67950
LCM = 734403600
Thus, we can understand that the LCM of 720,453,579,755,350 is 734403600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 453, 579, 755, 350?
Answer: LCM of 720, 453, 579, 755, 350 is 734403600.
2. How to calculate the LCM of 720, 453, 579, 755, 350?
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 720, 453, 579, 755, 350.
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}.