LCM of 495, 748, 123, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 748, 123, 369 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 495, 748, 123, 369. So, keep reading to learn more.
Given numbers are 495,748,123,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,748,123,369 is 1380060.
Find LCM of 495,748,123,369 with Prime Factorization
| 3 | 495, 748, 123, 369 |
| 3 | 165, 748, 41, 123 |
| 11 | 55, 748, 41, 41 |
| 41 | 5, 68, 41, 41 |
| 5, 68, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 41 x 5 x 68 x 1 x 1 = 1380060
Therefore, the lowest common multiple of 495,748,123,369 is 1380060.
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.
495 x 748 x 123 x 369 = 16804990620
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
123 : 1, 3, 41, 123
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,748,123,369, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
748:2x 2x 11x 17
123:3x 41
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 41 = 12177
Therefore, the value for common factors is 12177.
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 = 16804990620/(1x12177)
LCM = 16804990620/12177
LCM = 1380060
Thus, we can understand that the LCM of 495,748,123,369 is 1380060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 495, 748, 123, 369
1. What is the LCM of 495, 748, 123, 369?
Answer: LCM of 495, 748, 123, 369 is 1380060.
2. How to calculate the LCM of 495, 748, 123, 369?
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 495, 748, 123, 369.
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}.