LCM of 387, 253, 121, 846, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 253, 121, 846, 437 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 387, 253, 121, 846, 437. So, keep reading to learn more.
Given numbers are 387,253,121,846,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,253,121,846,437 is 1923559506.
Find LCM of 387,253,121,846,437 with Prime Factorization
| 3 | 387, 253, 121, 846, 437 |
| 3 | 129, 253, 121, 282, 437 |
| 11 | 43, 253, 121, 94, 437 |
| 23 | 43, 23, 11, 94, 437 |
| 43, 1, 11, 94, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 23 x 43 x 1 x 11 x 94 x 19 = 1923559506
Therefore, the lowest common multiple of 387,253,121,846,437 is 1923559506.
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.
387 x 253 x 121 x 846 x 437 = 4379944995162
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.
387 : 1, 3, 9, 43, 129, 387
253 : 1, 11, 23, 253
121 : 1, 11, 121
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,253,121,846,437, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
253:11x 23
121:11x 11
846:2x 3x 3x 47
437:19x 23
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 11x 23 = 2277
Therefore, the value for common factors is 2277.
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 = 4379944995162/(1x2277)
LCM = 4379944995162/2277
LCM = 1923559506
Thus, we can understand that the LCM of 387,253,121,846,437 is 1923559506.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 253, 121, 846, 437
1. What is the LCM of 387, 253, 121, 846, 437?
Answer: LCM of 387, 253, 121, 846, 437 is 1923559506.
2. How to calculate the LCM of 387, 253, 121, 846, 437?
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 387, 253, 121, 846, 437.
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}.