Find the LCM of 783, 953, 910, 350, 580 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 783, 953, 910, 350, 580. So, keep reading to learn more.
Given numbers are 783,953,910,350,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,953,910,350,580 is 6790410900.
Find LCM of 783,953,910,350,580 with Prime Factorization
2 | 783, 953, 910, 350, 580 |
5 | 783, 953, 455, 175, 290 |
7 | 783, 953, 91, 35, 58 |
29 | 783, 953, 13, 5, 58 |
27, 953, 13, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 29 x 27 x 953 x 13 x 5 x 2 = 6790410900
Therefore, the lowest common multiple of 783,953,910,350,580 is 6790410900.
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.
783 x 953 x 910 x 350 x 580 = 137845341270000
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
953 : 1, 953
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,953,910,350,580, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
953:953
910:2x 5x 7x 13
350:2x 5x 5x 7
580:2x 2x 5x 29
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 5x 5x 7x 29 = 20300
Therefore, the value for common factors is 20300.
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 = 137845341270000/(1x20300)
LCM = 137845341270000/20300
LCM = 6790410900
Thus, we can understand that the LCM of 783,953,910,350,580 is 6790410900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 783, 953, 910, 350, 580?
Answer: LCM of 783, 953, 910, 350, 580 is 6790410900.
2. How to calculate the LCM of 783, 953, 910, 350, 580?
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 783, 953, 910, 350, 580.
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}.