LCM of 927, 986, 319, 692, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 986, 319, 692, 278 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 927, 986, 319, 692, 278. So, keep reading to learn more.
Given numbers are 927,986,319,692,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,986,319,692,278 is 483548714748.
Find LCM of 927,986,319,692,278 with Prime Factorization
| 2 | 927, 986, 319, 692, 278 |
| 29 | 927, 493, 319, 346, 139 |
| 927, 17, 11, 346, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 927 x 17 x 11 x 346 x 139 = 483548714748
Therefore, the lowest common multiple of 927,986,319,692,278 is 483548714748.
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.
927 x 986 x 319 x 692 x 278 = 56091650910768
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.
927 : 1, 3, 9, 103, 309, 927
986 : 1, 2, 17, 29, 34, 58, 493, 986
319 : 1, 11, 29, 319
692 : 1, 2, 4, 173, 346, 692
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,986,319,692,278, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
986:2x 17x 29
319:11x 29
692:2x 2x 173
278:2x 139
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 29 = 116
Therefore, the value for common factors is 116.
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 = 56091650910768/(1x116)
LCM = 56091650910768/116
LCM = 483548714748
Thus, we can understand that the LCM of 927,986,319,692,278 is 483548714748.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 927, 986, 319, 692, 278
1. What is the LCM of 927, 986, 319, 692, 278?
Answer: LCM of 927, 986, 319, 692, 278 is 483548714748.
2. How to calculate the LCM of 927, 986, 319, 692, 278?
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 927, 986, 319, 692, 278.
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}.