LCM of 781, 703, 451, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 703, 451, 533 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, 703, 451, 533. So, keep reading to learn more.
Given numbers are 781,703,451,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,703,451,533 is 292639919.
Find LCM of 781,703,451,533 with Prime Factorization
| 11 | 781, 703, 451, 533 |
| 41 | 71, 703, 41, 533 |
| 71, 703, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 41 x 71 x 703 x 1 x 13 = 292639919
Therefore, the lowest common multiple of 781,703,451,533 is 292639919.
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 703 x 451 x 533 = 131980603469
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
703 : 1, 19, 37, 703
451 : 1, 11, 41, 451
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,703,451,533, is 1.
Now, the common factors can be found like this.
781:11x 71
703:19x 37
451:11x 41
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 41 = 451
Therefore, the value for common factors is 451.
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 = 131980603469/(1x451)
LCM = 131980603469/451
LCM = 292639919
Thus, we can understand that the LCM of 781,703,451,533 is 292639919.
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FAQs on LCM of 781, 703, 451, 533
1. What is the LCM of 781, 703, 451, 533?
Answer: LCM of 781, 703, 451, 533 is 292639919.
2. How to calculate the LCM of 781, 703, 451, 533?
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, 703, 451, 533.
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}.