LCM of 278, 646, 418, 979, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 646, 418, 979, 731 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, 646, 418, 979, 731. So, keep reading to learn more.
Given numbers are 278,646,418,979,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,646,418,979,731 is 3780058018.
Find LCM of 278,646,418,979,731 with Prime Factorization
| 2 | 278, 646, 418, 979, 731 |
| 11 | 139, 323, 209, 979, 731 |
| 17 | 139, 323, 19, 89, 731 |
| 19 | 139, 19, 19, 89, 43 |
| 139, 1, 1, 89, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 19 x 139 x 1 x 1 x 89 x 43 = 3780058018
Therefore, the lowest common multiple of 278,646,418,979,731 is 3780058018.
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 646 x 418 x 979 x 731 = 53722184551816
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
418 : 1, 2, 11, 19, 22, 38, 209, 418
979 : 1, 11, 89, 979
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,646,418,979,731, is 1.
Now, the common factors can be found like this.
278:2x 139
646:2x 17x 19
418:2x 11x 19
979:11x 89
731:17x 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 2x 11x 17x 19 = 14212
Therefore, the value for common factors is 14212.
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 = 53722184551816/(1x14212)
LCM = 53722184551816/14212
LCM = 3780058018
Thus, we can understand that the LCM of 278,646,418,979,731 is 3780058018.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 646, 418, 979, 731
1. What is the LCM of 278, 646, 418, 979, 731?
Answer: LCM of 278, 646, 418, 979, 731 is 3780058018.
2. How to calculate the LCM of 278, 646, 418, 979, 731?
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, 646, 418, 979, 731.
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}.