LCM of 264, 540, 956, 380, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 540, 956, 380, 168 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, 540, 956, 380, 168. So, keep reading to learn more.
Given numbers are 264,540,956,380,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,540,956,380,168 is 377629560.
Find LCM of 264,540,956,380,168 with Prime Factorization
| 2 | 264, 540, 956, 380, 168 |
| 2 | 132, 270, 478, 190, 84 |
| 2 | 66, 135, 239, 95, 42 |
| 3 | 33, 135, 239, 95, 21 |
| 5 | 11, 45, 239, 95, 7 |
| 11, 9, 239, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 9 x 239 x 19 x 7 = 377629560
Therefore, the lowest common multiple of 264,540,956,380,168 is 377629560.
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 540 x 956 x 380 x 168 = 8700585062400
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
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
956 : 1, 2, 4, 239, 478, 956
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,540,956,380,168, is 4.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
540:2x 2x 3x 3x 3x 5
956:2x 2x 239
380:2x 2x 5x 19
168:2x 2x 2x 3x 7
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 2x 2x 3x 3x 5 = 5760
Therefore, the value for common factors is 5760.
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 = 8700585062400/(4x5760)
LCM = 8700585062400/23040
LCM = 377629560
Thus, we can understand that the LCM of 264,540,956,380,168 is 377629560.
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FAQs on LCM of 264, 540, 956, 380, 168
1. What is the LCM of 264, 540, 956, 380, 168?
Answer: LCM of 264, 540, 956, 380, 168 is 377629560.
2. How to calculate the LCM of 264, 540, 956, 380, 168?
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, 540, 956, 380, 168.
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}.