LCM of 546, 990, 865, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 990, 865, 138 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, 990, 865, 138. So, keep reading to learn more.
Given numbers are 546,990,865,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,990,865,138 is 358468110.
Find LCM of 546,990,865,138 with Prime Factorization
| 2 | 546, 990, 865, 138 |
| 3 | 273, 495, 865, 69 |
| 5 | 91, 165, 865, 23 |
| 91, 33, 173, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 91 x 33 x 173 x 23 = 358468110
Therefore, the lowest common multiple of 546,990,865,138 is 358468110.
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 990 x 865 x 138 = 64524259800
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
865 : 1, 5, 173, 865
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,990,865,138, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
990:2x 3x 3x 5x 11
865:5x 173
138:2x 3x 23
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 5 = 180
Therefore, the value for common factors is 180.
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 = 64524259800/(1x180)
LCM = 64524259800/180
LCM = 358468110
Thus, we can understand that the LCM of 546,990,865,138 is 358468110.
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, 990, 865, 138
1. What is the LCM of 546, 990, 865, 138?
Answer: LCM of 546, 990, 865, 138 is 358468110.
2. How to calculate the LCM of 546, 990, 865, 138?
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, 990, 865, 138.
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}.