LCM of 546, 986, 754, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 986, 754, 932 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 546, 986, 754, 932. So, keep reading to learn more.
Given numbers are 546,986,754,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,986,754,932 is 125436948.
Find LCM of 546,986,754,932 with Prime Factorization
| 2 | 546, 986, 754, 932 |
| 13 | 273, 493, 377, 466 |
| 29 | 21, 493, 29, 466 |
| 21, 17, 1, 466 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 21 x 17 x 1 x 466 = 125436948
Therefore, the lowest common multiple of 546,986,754,932 is 125436948.
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.
546 x 986 x 754 x 932 = 378317835168
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
986 : 1, 2, 17, 29, 34, 58, 493, 986
754 : 1, 2, 13, 26, 29, 58, 377, 754
932 : 1, 2, 4, 233, 466, 932
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,986,754,932, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
986:2x 17x 29
754:2x 13x 29
932:2x 2x 233
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 13x 29 = 1508
Therefore, the value for common factors is 1508.
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 = 378317835168/(2x1508)
LCM = 378317835168/3016
LCM = 125436948
Thus, we can understand that the LCM of 546,986,754,932 is 125436948.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 546, 986, 754, 932
1. What is the LCM of 546, 986, 754, 932?
Answer: LCM of 546, 986, 754, 932 is 125436948.
2. How to calculate the LCM of 546, 986, 754, 932?
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 546, 986, 754, 932.
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}.