LCM of 781, 462, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 462, 426 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, 462, 426. So, keep reading to learn more.
Given numbers are 781,462,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,462,426 is 32802.
Find LCM of 781,462,426 with Prime Factorization
| 2 | 781, 462, 426 |
| 3 | 781, 231, 213 |
| 11 | 781, 77, 71 |
| 71 | 71, 7, 71 |
| 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 1 x 7 x 1 = 32802
Therefore, the lowest common multiple of 781,462,426 is 32802.
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 462 x 426 = 153710172
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,462,426, is 1.
Now, the common factors can be found like this.
781:11x 71
462:2x 3x 7x 11
426:2x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 71 = 4686
Therefore, the value for common factors is 4686.
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 = 153710172/(1x4686)
LCM = 153710172/4686
LCM = 32802
Thus, we can understand that the LCM of 781,462,426 is 32802.
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FAQs on LCM of 781, 462, 426
1. What is the LCM of 781, 462, 426?
Answer: LCM of 781, 462, 426 is 32802.
2. How to calculate the LCM of 781, 462, 426?
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, 462, 426.
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}.