LCM of 278, 946, 731, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 946, 731, 414 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 278, 946, 731, 414. So, keep reading to learn more.
Given numbers are 278,946,731,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,946,731,414 is 462727386.
Find LCM of 278,946,731,414 with Prime Factorization
| 2 | 278, 946, 731, 414 |
| 43 | 139, 473, 731, 207 |
| 139, 11, 17, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 139 x 11 x 17 x 207 = 462727386
Therefore, the lowest common multiple of 278,946,731,414 is 462727386.
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.
278 x 946 x 731 x 414 = 79589110392
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.
278 : 1, 2, 139, 278
946 : 1, 2, 11, 22, 43, 86, 473, 946
731 : 1, 17, 43, 731
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,946,731,414, is 1.
Now, the common factors can be found like this.
278:2x 139
946:2x 11x 43
731:17x 43
414:2x 3x 3x 23
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 43 = 172
Therefore, the value for common factors is 172.
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 = 79589110392/(1x172)
LCM = 79589110392/172
LCM = 462727386
Thus, we can understand that the LCM of 278,946,731,414 is 462727386.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 946, 731, 414
1. What is the LCM of 278, 946, 731, 414?
Answer: LCM of 278, 946, 731, 414 is 462727386.
2. How to calculate the LCM of 278, 946, 731, 414?
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 278, 946, 731, 414.
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}.