LCM of 546, 909, 360, 517, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 909, 360, 517, 297 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, 909, 360, 517, 297. So, keep reading to learn more.
Given numbers are 546,909,360,517,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,909,360,517,297 is 5131886760.
Find LCM of 546,909,360,517,297 with Prime Factorization
| 2 | 546, 909, 360, 517, 297 |
| 3 | 273, 909, 180, 517, 297 |
| 3 | 91, 303, 60, 517, 99 |
| 11 | 91, 101, 20, 517, 33 |
| 91, 101, 20, 47, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 91 x 101 x 20 x 47 x 3 = 5131886760
Therefore, the lowest common multiple of 546,909,360,517,297 is 5131886760.
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 909 x 360 x 517 x 297 = 27435066618960
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
909 : 1, 3, 9, 101, 303, 909
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
517 : 1, 11, 47, 517
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,909,360,517,297, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
909:3x 3x 101
360:2x 2x 2x 3x 3x 5
517:11x 47
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 11 = 5346
Therefore, the value for common factors is 5346.
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 = 27435066618960/(1x5346)
LCM = 27435066618960/5346
LCM = 5131886760
Thus, we can understand that the LCM of 546,909,360,517,297 is 5131886760.
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FAQs on LCM of 546, 909, 360, 517, 297
1. What is the LCM of 546, 909, 360, 517, 297?
Answer: LCM of 546, 909, 360, 517, 297 is 5131886760.
2. How to calculate the LCM of 546, 909, 360, 517, 297?
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, 909, 360, 517, 297.
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}.