LCM of 291, 280, 400, 827, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 280, 400, 827, 715 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 291, 280, 400, 827, 715. So, keep reading to learn more.
Given numbers are 291,280,400,827,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,280,400,827,715 is 96359062800.
Find LCM of 291,280,400,827,715 with Prime Factorization
| 2 | 291, 280, 400, 827, 715 |
| 2 | 291, 140, 200, 827, 715 |
| 2 | 291, 70, 100, 827, 715 |
| 5 | 291, 35, 50, 827, 715 |
| 291, 7, 10, 827, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 291 x 7 x 10 x 827 x 143 = 96359062800
Therefore, the lowest common multiple of 291,280,400,827,715 is 96359062800.
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.
291 x 280 x 400 x 827 x 715 = 19271812560000
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.
291 : 1, 3, 97, 291
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
827 : 1, 827
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,280,400,827,715, is 1.
Now, the common factors can be found like this.
291:3x 97
280:2x 2x 2x 5x 7
400:2x 2x 2x 2x 5x 5
827:827
715:5x 11x 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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 19271812560000/(1x200)
LCM = 19271812560000/200
LCM = 96359062800
Thus, we can understand that the LCM of 291,280,400,827,715 is 96359062800.
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FAQs on LCM of 291, 280, 400, 827, 715
1. What is the LCM of 291, 280, 400, 827, 715?
Answer: LCM of 291, 280, 400, 827, 715 is 96359062800.
2. How to calculate the LCM of 291, 280, 400, 827, 715?
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 291, 280, 400, 827, 715.
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}.