LCM of 674, 540, 369, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 540, 369, 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 674, 540, 369, 264. So, keep reading to learn more.
Given numbers are 674,540,369,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,540,369,264 is 164145960.
Find LCM of 674,540,369,264 with Prime Factorization
| 2 | 674, 540, 369, 264 |
| 2 | 337, 270, 369, 132 |
| 3 | 337, 135, 369, 66 |
| 3 | 337, 45, 123, 22 |
| 337, 15, 41, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 337 x 15 x 41 x 22 = 164145960
Therefore, the lowest common multiple of 674,540,369,264 is 164145960.
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.
674 x 540 x 369 x 264 = 35455527360
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.
674 : 1, 2, 337, 674
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
369 : 1, 3, 9, 41, 123, 369
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 674,540,369,264, is 1.
Now, the common factors can be found like this.
674:2x 337
540:2x 2x 3x 3x 3x 5
369:3x 3x 41
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 35455527360/(1x216)
LCM = 35455527360/216
LCM = 164145960
Thus, we can understand that the LCM of 674,540,369,264 is 164145960.
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FAQs on LCM of 674, 540, 369, 264
1. What is the LCM of 674, 540, 369, 264?
Answer: LCM of 674, 540, 369, 264 is 164145960.
2. How to calculate the LCM of 674, 540, 369, 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 674, 540, 369, 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}.