LCM of 123, 145, 123, 841, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 145, 123, 841, 348 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 123, 145, 123, 841, 348. So, keep reading to learn more.
Given numbers are 123,145,123,841,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,145,123,841,348 is 2068860.
Find LCM of 123,145,123,841,348 with Prime Factorization
| 3 | 123, 145, 123, 841, 348 |
| 29 | 41, 145, 41, 841, 116 |
| 41 | 41, 5, 41, 29, 4 |
| 1, 5, 1, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 41 x 1 x 5 x 1 x 29 x 4 = 2068860
Therefore, the lowest common multiple of 123,145,123,841,348 is 2068860.
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.
123 x 145 x 123 x 841 x 348 = 642027254940
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.
123 : 1, 3, 41, 123
145 : 1, 5, 29, 145
123 : 1, 3, 41, 123
841 : 1, 29, 841
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,145,123,841,348, is 1.
Now, the common factors can be found like this.
123:3x 41
145:5x 29
123:3x 41
841:29x 29
348:2x 2x 3x 29
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 29x 29x 41 = 310329
Therefore, the value for common factors is 310329.
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 = 642027254940/(1x310329)
LCM = 642027254940/310329
LCM = 2068860
Thus, we can understand that the LCM of 123,145,123,841,348 is 2068860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 123, 145, 123, 841, 348
1. What is the LCM of 123, 145, 123, 841, 348?
Answer: LCM of 123, 145, 123, 841, 348 is 2068860.
2. How to calculate the LCM of 123, 145, 123, 841, 348?
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 123, 145, 123, 841, 348.
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}.