LCM of 883, 198, 759, 214, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 198, 759, 214, 314 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 883, 198, 759, 214, 314. So, keep reading to learn more.
Given numbers are 883,198,759,214,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,198,759,214,314 is 67551836418.
Find LCM of 883,198,759,214,314 with Prime Factorization
| 2 | 883, 198, 759, 214, 314 |
| 3 | 883, 99, 759, 107, 157 |
| 11 | 883, 33, 253, 107, 157 |
| 883, 3, 23, 107, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 883 x 3 x 23 x 107 x 157 = 67551836418
Therefore, the lowest common multiple of 883,198,759,214,314 is 67551836418.
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.
883 x 198 x 759 x 214 x 314 = 8916842407176
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.
883 : 1, 883
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
759 : 1, 3, 11, 23, 33, 69, 253, 759
214 : 1, 2, 107, 214
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,198,759,214,314, is 1.
Now, the common factors can be found like this.
883:883
198:2x 3x 3x 11
759:3x 11x 23
214:2x 107
314:2x 157
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 8916842407176/(1x132)
LCM = 8916842407176/132
LCM = 67551836418
Thus, we can understand that the LCM of 883,198,759,214,314 is 67551836418.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 883, 198, 759, 214, 314
1. What is the LCM of 883, 198, 759, 214, 314?
Answer: LCM of 883, 198, 759, 214, 314 is 67551836418.
2. How to calculate the LCM of 883, 198, 759, 214, 314?
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 883, 198, 759, 214, 314.
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}.