LCM of 556, 264, 198, 109, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 264, 198, 109, 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 556, 264, 198, 109, 278. So, keep reading to learn more.
Given numbers are 556,264,198,109,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,264,198,109,278 is 11999592.
Find LCM of 556,264,198,109,278 with Prime Factorization
| 2 | 556, 264, 198, 109, 278 |
| 2 | 278, 132, 99, 109, 139 |
| 3 | 139, 66, 99, 109, 139 |
| 11 | 139, 22, 33, 109, 139 |
| 139 | 139, 2, 3, 109, 139 |
| 1, 2, 3, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 139 x 1 x 2 x 3 x 109 x 1 = 11999592
Therefore, the lowest common multiple of 556,264,198,109,278 is 11999592.
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.
556 x 264 x 198 x 109 x 278 = 880674056064
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.
556 : 1, 2, 4, 139, 278, 556
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
109 : 1, 109
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,264,198,109,278, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
264:2x 2x 2x 3x 11
198:2x 3x 3x 11
109:109
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 2x 2x 3x 11x 139 = 73392
Therefore, the value for common factors is 73392.
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 = 880674056064/(1x73392)
LCM = 880674056064/73392
LCM = 11999592
Thus, we can understand that the LCM of 556,264,198,109,278 is 11999592.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 556, 264, 198, 109, 278
1. What is the LCM of 556, 264, 198, 109, 278?
Answer: LCM of 556, 264, 198, 109, 278 is 11999592.
2. How to calculate the LCM of 556, 264, 198, 109, 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 556, 264, 198, 109, 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}.