LCM of 241, 748, 540, 756, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 748, 540, 756, 326 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 241, 748, 540, 756, 326. So, keep reading to learn more.
Given numbers are 241,748,540,756,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,748,540,756,326 is 27767581380.
Find LCM of 241,748,540,756,326 with Prime Factorization
| 2 | 241, 748, 540, 756, 326 |
| 2 | 241, 374, 270, 378, 163 |
| 3 | 241, 187, 135, 189, 163 |
| 3 | 241, 187, 45, 63, 163 |
| 3 | 241, 187, 15, 21, 163 |
| 241, 187, 5, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 241 x 187 x 5 x 7 x 163 = 27767581380
Therefore, the lowest common multiple of 241,748,540,756,326 is 27767581380.
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.
241 x 748 x 540 x 756 x 326 = 23991190312320
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.
241 : 1, 241
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,748,540,756,326, is 1.
Now, the common factors can be found like this.
241:241
748:2x 2x 11x 17
540:2x 2x 3x 3x 3x 5
756:2x 2x 3x 3x 3x 7
326:2x 163
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 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 23991190312320/(1x864)
LCM = 23991190312320/864
LCM = 27767581380
Thus, we can understand that the LCM of 241,748,540,756,326 is 27767581380.
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FAQs on LCM of 241, 748, 540, 756, 326
1. What is the LCM of 241, 748, 540, 756, 326?
Answer: LCM of 241, 748, 540, 756, 326 is 27767581380.
2. How to calculate the LCM of 241, 748, 540, 756, 326?
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 241, 748, 540, 756, 326.
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}.