LCM of 619, 625, 964, 973, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 625, 964, 973, 520 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 619, 625, 964, 973, 520. So, keep reading to learn more.
Given numbers are 619,625,964,973,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,625,964,973,520 is 9434825855000.
Find LCM of 619,625,964,973,520 with Prime Factorization
| 2 | 619, 625, 964, 973, 520 |
| 2 | 619, 625, 482, 973, 260 |
| 5 | 619, 625, 241, 973, 130 |
| 619, 125, 241, 973, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 619 x 125 x 241 x 973 x 26 = 9434825855000
Therefore, the lowest common multiple of 619,625,964,973,520 is 9434825855000.
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.
619 x 625 x 964 x 973 x 520 = 188696517100000
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.
619 : 1, 619
625 : 1, 5, 25, 125, 625
964 : 1, 2, 4, 241, 482, 964
973 : 1, 7, 139, 973
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,625,964,973,520, is 1.
Now, the common factors can be found like this.
619:619
625:5x 5x 5x 5
964:2x 2x 241
973:7x 139
520:2x 2x 2x 5x 13
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 5 = 20
Therefore, the value for common factors is 20.
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 = 188696517100000/(1x20)
LCM = 188696517100000/20
LCM = 9434825855000
Thus, we can understand that the LCM of 619,625,964,973,520 is 9434825855000.
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FAQs on LCM of 619, 625, 964, 973, 520
1. What is the LCM of 619, 625, 964, 973, 520?
Answer: LCM of 619, 625, 964, 973, 520 is 9434825855000.
2. How to calculate the LCM of 619, 625, 964, 973, 520?
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 619, 625, 964, 973, 520.
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}.