LCM of 286, 958, 735, 715, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 958, 735, 715, 821 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 286, 958, 735, 715, 821. So, keep reading to learn more.
Given numbers are 286,958,735,715,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,958,735,715,821 is 82666974390.
Find LCM of 286,958,735,715,821 with Prime Factorization
| 2 | 286, 958, 735, 715, 821 |
| 5 | 143, 479, 735, 715, 821 |
| 11 | 143, 479, 147, 143, 821 |
| 13 | 13, 479, 147, 13, 821 |
| 1, 479, 147, 1, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 1 x 479 x 147 x 1 x 821 = 82666974390
Therefore, the lowest common multiple of 286,958,735,715,821 is 82666974390.
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.
286 x 958 x 735 x 715 x 821 = 118213773377700
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
958 : 1, 2, 479, 958
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
715 : 1, 5, 11, 13, 55, 65, 143, 715
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,958,735,715,821, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
958:2x 479
735:3x 5x 7x 7
715:5x 11x 13
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 13 = 1430
Therefore, the value for common factors is 1430.
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 = 118213773377700/(1x1430)
LCM = 118213773377700/1430
LCM = 82666974390
Thus, we can understand that the LCM of 286,958,735,715,821 is 82666974390.
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FAQs on LCM of 286, 958, 735, 715, 821
1. What is the LCM of 286, 958, 735, 715, 821?
Answer: LCM of 286, 958, 735, 715, 821 is 82666974390.
2. How to calculate the LCM of 286, 958, 735, 715, 821?
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 286, 958, 735, 715, 821.
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}.