LCM of 140, 837, 438, 286, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 837, 438, 286, 866 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 140, 837, 438, 286, 866. So, keep reading to learn more.
Given numbers are 140,837,438,286,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,837,438,286,866 is 529663794660.
Find LCM of 140,837,438,286,866 with Prime Factorization
| 2 | 140, 837, 438, 286, 866 |
| 3 | 70, 837, 219, 143, 433 |
| 70, 279, 73, 143, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 70 x 279 x 73 x 143 x 433 = 529663794660
Therefore, the lowest common multiple of 140,837,438,286,866 is 529663794660.
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.
140 x 837 x 438 x 286 x 866 = 12711931071840
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
837 : 1, 3, 9, 27, 31, 93, 279, 837
438 : 1, 2, 3, 6, 73, 146, 219, 438
286 : 1, 2, 11, 13, 22, 26, 143, 286
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,837,438,286,866, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
837:3x 3x 3x 31
438:2x 3x 73
286:2x 11x 13
866:2x 433
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 3 = 24
Therefore, the value for common factors is 24.
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 = 12711931071840/(1x24)
LCM = 12711931071840/24
LCM = 529663794660
Thus, we can understand that the LCM of 140,837,438,286,866 is 529663794660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 140, 837, 438, 286, 866
1. What is the LCM of 140, 837, 438, 286, 866?
Answer: LCM of 140, 837, 438, 286, 866 is 529663794660.
2. How to calculate the LCM of 140, 837, 438, 286, 866?
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 140, 837, 438, 286, 866.
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}.