Find the LCM of 625, 955, 748, 344, 525 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 625, 955, 748, 344, 525. So, keep reading to learn more.
Given numbers are 625,955,748,344,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,955,748,344,525 is 161262255000.
Find LCM of 625,955,748,344,525 with Prime Factorization
2 | 625, 955, 748, 344, 525 |
2 | 625, 955, 374, 172, 525 |
5 | 625, 955, 187, 86, 525 |
5 | 125, 191, 187, 86, 105 |
25, 191, 187, 86, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 25 x 191 x 187 x 86 x 21 = 161262255000
Therefore, the lowest common multiple of 625,955,748,344,525 is 161262255000.
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.
625 x 955 x 748 x 344 x 525 = 80631127500000
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.
625 : 1, 5, 25, 125, 625
955 : 1, 5, 191, 955
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
344 : 1, 2, 4, 8, 43, 86, 172, 344
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,955,748,344,525, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
955:5x 191
748:2x 2x 11x 17
344:2x 2x 2x 43
525:3x 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 2x 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 80631127500000/(1x500)
LCM = 80631127500000/500
LCM = 161262255000
Thus, we can understand that the LCM of 625,955,748,344,525 is 161262255000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 625, 955, 748, 344, 525?
Answer: LCM of 625, 955, 748, 344, 525 is 161262255000.
2. How to calculate the LCM of 625, 955, 748, 344, 525?
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 625, 955, 748, 344, 525.
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}.