LCM of 723, 286, 940, 267, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 286, 940, 267, 364 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 723, 286, 940, 267, 364. So, keep reading to learn more.
Given numbers are 723,286,940,267,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,286,940,267,364 is 60546666180.
Find LCM of 723,286,940,267,364 with Prime Factorization
| 2 | 723, 286, 940, 267, 364 |
| 2 | 723, 143, 470, 267, 182 |
| 3 | 723, 143, 235, 267, 91 |
| 13 | 241, 143, 235, 89, 91 |
| 241, 11, 235, 89, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 241 x 11 x 235 x 89 x 7 = 60546666180
Therefore, the lowest common multiple of 723,286,940,267,364 is 60546666180.
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.
723 x 286 x 940 x 267 x 364 = 18890559848160
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.
723 : 1, 3, 241, 723
286 : 1, 2, 11, 13, 22, 26, 143, 286
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
267 : 1, 3, 89, 267
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,286,940,267,364, is 1.
Now, the common factors can be found like this.
723:3x 241
286:2x 11x 13
940:2x 2x 5x 47
267:3x 89
364:2x 2x 7x 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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 18890559848160/(1x312)
LCM = 18890559848160/312
LCM = 60546666180
Thus, we can understand that the LCM of 723,286,940,267,364 is 60546666180.
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FAQs on LCM of 723, 286, 940, 267, 364
1. What is the LCM of 723, 286, 940, 267, 364?
Answer: LCM of 723, 286, 940, 267, 364 is 60546666180.
2. How to calculate the LCM of 723, 286, 940, 267, 364?
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 723, 286, 940, 267, 364.
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}.