LCM of 546, 540, 417, 964, 139
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 540, 417, 964, 139 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, 540, 417, 964, 139. So, keep reading to learn more.
Given numbers are 546,540,417,964,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,540,417,964,139 is 1646140860.
Find LCM of 546,540,417,964,139 with Prime Factorization
| 2 | 546, 540, 417, 964, 139 |
| 2 | 273, 270, 417, 482, 139 |
| 3 | 273, 135, 417, 241, 139 |
| 139 | 91, 45, 139, 241, 139 |
| 91, 45, 1, 241, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 91 x 45 x 1 x 241 x 1 = 1646140860
Therefore, the lowest common multiple of 546,540,417,964,139 is 1646140860.
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 540 x 417 x 964 x 139 = 16474577726880
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
417 : 1, 3, 139, 417
964 : 1, 2, 4, 241, 482, 964
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,540,417,964,139, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
540:2x 2x 3x 3x 3x 5
417:3x 139
964:2x 2x 241
139:139
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 3x 3x 139 = 10008
Therefore, the value for common factors is 10008.
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 = 16474577726880/(1x10008)
LCM = 16474577726880/10008
LCM = 1646140860
Thus, we can understand that the LCM of 546,540,417,964,139 is 1646140860.
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FAQs on LCM of 546, 540, 417, 964, 139
1. What is the LCM of 546, 540, 417, 964, 139?
Answer: LCM of 546, 540, 417, 964, 139 is 1646140860.
2. How to calculate the LCM of 546, 540, 417, 964, 139?
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, 540, 417, 964, 139.
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}.