LCM of 988, 519, 546, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 519, 546, 894 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 988, 519, 546, 894. So, keep reading to learn more.
Given numbers are 988,519,546,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,519,546,894 is 534821196.
Find LCM of 988,519,546,894 with Prime Factorization
| 2 | 988, 519, 546, 894 |
| 3 | 494, 519, 273, 447 |
| 13 | 494, 173, 91, 149 |
| 38, 173, 7, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 38 x 173 x 7 x 149 = 534821196
Therefore, the lowest common multiple of 988,519,546,894 is 534821196.
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.
988 x 519 x 546 x 894 = 250296319728
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
519 : 1, 3, 173, 519
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,519,546,894, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
519:3x 173
546:2x 3x 7x 13
894:2x 3x 149
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 250296319728/(1x468)
LCM = 250296319728/468
LCM = 534821196
Thus, we can understand that the LCM of 988,519,546,894 is 534821196.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 988, 519, 546, 894
1. What is the LCM of 988, 519, 546, 894?
Answer: LCM of 988, 519, 546, 894 is 534821196.
2. How to calculate the LCM of 988, 519, 546, 894?
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 988, 519, 546, 894.
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}.