LCM of 540, 105, 423, 313, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 105, 423, 313, 264 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 540, 105, 423, 313, 264. So, keep reading to learn more.
Given numbers are 540,105,423,313,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,105,423,313,264 is 1223366760.
Find LCM of 540,105,423,313,264 with Prime Factorization
| 2 | 540, 105, 423, 313, 264 |
| 2 | 270, 105, 423, 313, 132 |
| 3 | 135, 105, 423, 313, 66 |
| 3 | 45, 35, 141, 313, 22 |
| 5 | 15, 35, 47, 313, 22 |
| 3, 7, 47, 313, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 3 x 7 x 47 x 313 x 22 = 1223366760
Therefore, the lowest common multiple of 540,105,423,313,264 is 1223366760.
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.
540 x 105 x 423 x 313 x 264 = 1981854151200
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.
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
423 : 1, 3, 9, 47, 141, 423
313 : 1, 313
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,105,423,313,264, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
105:3x 5x 7
423:3x 3x 47
313:313
264:2x 2x 2x 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 2x 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 1981854151200/(1x1620)
LCM = 1981854151200/1620
LCM = 1223366760
Thus, we can understand that the LCM of 540,105,423,313,264 is 1223366760.
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FAQs on LCM of 540, 105, 423, 313, 264
1. What is the LCM of 540, 105, 423, 313, 264?
Answer: LCM of 540, 105, 423, 313, 264 is 1223366760.
2. How to calculate the LCM of 540, 105, 423, 313, 264?
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 540, 105, 423, 313, 264.
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}.