LCM of 605, 904, 781, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 904, 781, 946 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 605, 904, 781, 946. So, keep reading to learn more.
Given numbers are 605,904,781,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,904,781,946 is 1669746760.
Find LCM of 605,904,781,946 with Prime Factorization
| 2 | 605, 904, 781, 946 |
| 11 | 605, 452, 781, 473 |
| 55, 452, 71, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 55 x 452 x 71 x 43 = 1669746760
Therefore, the lowest common multiple of 605,904,781,946 is 1669746760.
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.
605 x 904 x 781 x 946 = 404078715920
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.
605 : 1, 5, 11, 55, 121, 605
904 : 1, 2, 4, 8, 113, 226, 452, 904
781 : 1, 11, 71, 781
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,904,781,946, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
904:2x 2x 2x 113
781:11x 71
946:2x 11x 43
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 11 = 242
Therefore, the value for common factors is 242.
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 = 404078715920/(1x242)
LCM = 404078715920/242
LCM = 1669746760
Thus, we can understand that the LCM of 605,904,781,946 is 1669746760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 904, 781, 946
1. What is the LCM of 605, 904, 781, 946?
Answer: LCM of 605, 904, 781, 946 is 1669746760.
2. How to calculate the LCM of 605, 904, 781, 946?
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 605, 904, 781, 946.
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}.