LCM of 867, 986, 448, 624, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 986, 448, 624, 279 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 867, 986, 448, 624, 279. So, keep reading to learn more.
Given numbers are 867,986,448,624,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,986,448,624,279 is 13618253376.
Find LCM of 867,986,448,624,279 with Prime Factorization
| 2 | 867, 986, 448, 624, 279 |
| 2 | 867, 493, 224, 312, 279 |
| 2 | 867, 493, 112, 156, 279 |
| 2 | 867, 493, 56, 78, 279 |
| 3 | 867, 493, 28, 39, 279 |
| 17 | 289, 493, 28, 13, 93 |
| 17, 29, 28, 13, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 17 x 29 x 28 x 13 x 93 = 13618253376
Therefore, the lowest common multiple of 867,986,448,624,279 is 13618253376.
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.
867 x 986 x 448 x 624 x 279 = 66674968528896
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.
867 : 1, 3, 17, 51, 289, 867
986 : 1, 2, 17, 29, 34, 58, 493, 986
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,986,448,624,279, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
986:2x 17x 29
448:2x 2x 2x 2x 2x 2x 7
624:2x 2x 2x 2x 3x 13
279:3x 3x 31
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 2x 2x 2x 3x 3x 17 = 4896
Therefore, the value for common factors is 4896.
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 = 66674968528896/(1x4896)
LCM = 66674968528896/4896
LCM = 13618253376
Thus, we can understand that the LCM of 867,986,448,624,279 is 13618253376.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 867, 986, 448, 624, 279
1. What is the LCM of 867, 986, 448, 624, 279?
Answer: LCM of 867, 986, 448, 624, 279 is 13618253376.
2. How to calculate the LCM of 867, 986, 448, 624, 279?
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 867, 986, 448, 624, 279.
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}.