LCM of 781, 935, 226, 452, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 935, 226, 452, 681 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 781, 935, 226, 452, 681. So, keep reading to learn more.
Given numbers are 781,935,226,452,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,935,226,452,681 is 20434099620.
Find LCM of 781,935,226,452,681 with Prime Factorization
| 2 | 781, 935, 226, 452, 681 |
| 11 | 781, 935, 113, 226, 681 |
| 113 | 71, 85, 113, 226, 681 |
| 71, 85, 1, 2, 681 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 113 x 71 x 85 x 1 x 2 x 681 = 20434099620
Therefore, the lowest common multiple of 781,935,226,452,681 is 20434099620.
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.
781 x 935 x 226 x 452 x 681 = 50799171655320
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.
781 : 1, 11, 71, 781
935 : 1, 5, 11, 17, 55, 85, 187, 935
226 : 1, 2, 113, 226
452 : 1, 2, 4, 113, 226, 452
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,935,226,452,681, is 1.
Now, the common factors can be found like this.
781:11x 71
935:5x 11x 17
226:2x 113
452:2x 2x 113
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 113 = 2486
Therefore, the value for common factors is 2486.
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 = 50799171655320/(1x2486)
LCM = 50799171655320/2486
LCM = 20434099620
Thus, we can understand that the LCM of 781,935,226,452,681 is 20434099620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 935, 226, 452, 681
1. What is the LCM of 781, 935, 226, 452, 681?
Answer: LCM of 781, 935, 226, 452, 681 is 20434099620.
2. How to calculate the LCM of 781, 935, 226, 452, 681?
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 781, 935, 226, 452, 681.
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}.