LCM of 291, 686, 705, 966, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 686, 705, 966, 875 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, 686, 705, 966, 875. So, keep reading to learn more.
Given numbers are 291,686,705,966,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,686,705,966,875 is 26974463250.
Find LCM of 291,686,705,966,875 with Prime Factorization
| 2 | 291, 686, 705, 966, 875 |
| 3 | 291, 343, 705, 483, 875 |
| 5 | 97, 343, 235, 161, 875 |
| 7 | 97, 343, 47, 161, 175 |
| 97, 49, 47, 23, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 97 x 49 x 47 x 23 x 25 = 26974463250
Therefore, the lowest common multiple of 291,686,705,966,875 is 26974463250.
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 686 x 705 x 966 x 875 = 118957382932500
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
705 : 1, 3, 5, 15, 47, 141, 235, 705
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,686,705,966,875, is 1.
Now, the common factors can be found like this.
291:3x 97
686:2x 7x 7x 7
705:3x 5x 47
966:2x 3x 7x 23
875:5x 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 3x 3x 5x 7x 7 = 4410
Therefore, the value for common factors is 4410.
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 = 118957382932500/(1x4410)
LCM = 118957382932500/4410
LCM = 26974463250
Thus, we can understand that the LCM of 291,686,705,966,875 is 26974463250.
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FAQs on LCM of 291, 686, 705, 966, 875
1. What is the LCM of 291, 686, 705, 966, 875?
Answer: LCM of 291, 686, 705, 966, 875 is 26974463250.
2. How to calculate the LCM of 291, 686, 705, 966, 875?
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, 686, 705, 966, 875.
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}.