LCM of 264, 547, 624, 722, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 547, 624, 722, 286 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 264, 547, 624, 722, 286. So, keep reading to learn more.
Given numbers are 264,547,624,722,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,547,624,722,286 is 1355413488.
Find LCM of 264,547,624,722,286 with Prime Factorization
| 2 | 264, 547, 624, 722, 286 |
| 2 | 132, 547, 312, 361, 143 |
| 2 | 66, 547, 156, 361, 143 |
| 3 | 33, 547, 78, 361, 143 |
| 11 | 11, 547, 26, 361, 143 |
| 13 | 1, 547, 26, 361, 13 |
| 1, 547, 2, 361, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 1 x 547 x 2 x 361 x 1 = 1355413488
Therefore, the lowest common multiple of 264,547,624,722,286 is 1355413488.
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.
264 x 547 x 624 x 722 x 286 = 18607116363264
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
547 : 1, 547
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
722 : 1, 2, 19, 38, 361, 722
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,547,624,722,286, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
547:547
624:2x 2x 2x 2x 3x 13
722:2x 19x 19
286:2x 11x 13
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 2x 2x 3x 11x 13 = 13728
Therefore, the value for common factors is 13728.
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 = 18607116363264/(1x13728)
LCM = 18607116363264/13728
LCM = 1355413488
Thus, we can understand that the LCM of 264,547,624,722,286 is 1355413488.
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FAQs on LCM of 264, 547, 624, 722, 286
1. What is the LCM of 264, 547, 624, 722, 286?
Answer: LCM of 264, 547, 624, 722, 286 is 1355413488.
2. How to calculate the LCM of 264, 547, 624, 722, 286?
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 264, 547, 624, 722, 286.
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}.