LCM of 250, 375, 802, 297, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 250, 375, 802, 297, 560 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 250, 375, 802, 297, 560. So, keep reading to learn more.
Given numbers are 250,375,802,297,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,375,802,297,560 is 1667358000.
Find LCM of 250,375,802,297,560 with Prime Factorization
| 2 | 250, 375, 802, 297, 560 |
| 3 | 125, 375, 401, 297, 280 |
| 5 | 125, 125, 401, 99, 280 |
| 5 | 25, 25, 401, 99, 56 |
| 5 | 5, 5, 401, 99, 56 |
| 1, 1, 401, 99, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 1 x 1 x 401 x 99 x 56 = 1667358000
Therefore, the lowest common multiple of 250,375,802,297,560 is 1667358000.
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.
250 x 375 x 802 x 297 x 560 = 12505185000000
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.
250 : 1, 2, 5, 10, 25, 50, 125, 250
375 : 1, 3, 5, 15, 25, 75, 125, 375
802 : 1, 2, 401, 802
297 : 1, 3, 9, 11, 27, 33, 99, 297
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,375,802,297,560, is 1.
Now, the common factors can be found like this.
250:2x 5x 5x 5
375:3x 5x 5x 5
802:2x 401
297:3x 3x 3x 11
560:2x 2x 2x 2x 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 3x 5x 5x 5x 5 = 7500
Therefore, the value for common factors is 7500.
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 = 12505185000000/(1x7500)
LCM = 12505185000000/7500
LCM = 1667358000
Thus, we can understand that the LCM of 250,375,802,297,560 is 1667358000.
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FAQs on LCM of 250, 375, 802, 297, 560
1. What is the LCM of 250, 375, 802, 297, 560?
Answer: LCM of 250, 375, 802, 297, 560 is 1667358000.
2. How to calculate the LCM of 250, 375, 802, 297, 560?
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 250, 375, 802, 297, 560.
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}.