LCM of 714, 717, 940, 148, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 717, 940, 148, 833 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 714, 717, 940, 148, 833. So, keep reading to learn more.
Given numbers are 714,717,940,148,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,717,940,148,833 is 20772737580.
Find LCM of 714,717,940,148,833 with Prime Factorization
| 2 | 714, 717, 940, 148, 833 |
| 2 | 357, 717, 470, 74, 833 |
| 3 | 357, 717, 235, 37, 833 |
| 7 | 119, 239, 235, 37, 833 |
| 17 | 17, 239, 235, 37, 119 |
| 1, 239, 235, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 1 x 239 x 235 x 37 x 7 = 20772737580
Therefore, the lowest common multiple of 714,717,940,148,833 is 20772737580.
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.
714 x 717 x 940 x 148 x 833 = 59326938528480
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
717 : 1, 3, 239, 717
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
148 : 1, 2, 4, 37, 74, 148
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,717,940,148,833, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
717:3x 239
940:2x 2x 5x 47
148:2x 2x 37
833:7x 7x 17
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 7x 17 = 2856
Therefore, the value for common factors is 2856.
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 = 59326938528480/(1x2856)
LCM = 59326938528480/2856
LCM = 20772737580
Thus, we can understand that the LCM of 714,717,940,148,833 is 20772737580.
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FAQs on LCM of 714, 717, 940, 148, 833
1. What is the LCM of 714, 717, 940, 148, 833?
Answer: LCM of 714, 717, 940, 148, 833 is 20772737580.
2. How to calculate the LCM of 714, 717, 940, 148, 833?
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 714, 717, 940, 148, 833.
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}.