LCM of 694, 939, 646, 750, 250
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 939, 646, 750, 250 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 694, 939, 646, 750, 250. So, keep reading to learn more.
Given numbers are 694,939,646,750,250
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,939,646,750,250 is 26311014750.
Find LCM of 694,939,646,750,250 with Prime Factorization
| 2 | 694, 939, 646, 750, 250 |
| 3 | 347, 939, 323, 375, 125 |
| 5 | 347, 313, 323, 125, 125 |
| 5 | 347, 313, 323, 25, 25 |
| 5 | 347, 313, 323, 5, 5 |
| 347, 313, 323, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 347 x 313 x 323 x 1 x 1 = 26311014750
Therefore, the lowest common multiple of 694,939,646,750,250 is 26311014750.
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.
694 x 939 x 646 x 750 x 250 = 78933044250000
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.
694 : 1, 2, 347, 694
939 : 1, 3, 313, 939
646 : 1, 2, 17, 19, 34, 38, 323, 646
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
250 : 1, 2, 5, 10, 25, 50, 125, 250
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,939,646,750,250, is 1.
Now, the common factors can be found like this.
694:2x 347
939:3x 313
646:2x 17x 19
750:2x 3x 5x 5x 5
250:2x 5x 5x 5
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 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 78933044250000/(1x3000)
LCM = 78933044250000/3000
LCM = 26311014750
Thus, we can understand that the LCM of 694,939,646,750,250 is 26311014750.
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FAQs on LCM of 694, 939, 646, 750, 250
1. What is the LCM of 694, 939, 646, 750, 250?
Answer: LCM of 694, 939, 646, 750, 250 is 26311014750.
2. How to calculate the LCM of 694, 939, 646, 750, 250?
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 694, 939, 646, 750, 250.
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}.