LCM of 940, 396, 754, 884, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 396, 754, 884, 143 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 940, 396, 754, 884, 143. So, keep reading to learn more.
Given numbers are 940,396,754,884,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,396,754,884,143 is 596421540.
Find LCM of 940,396,754,884,143 with Prime Factorization
| 2 | 940, 396, 754, 884, 143 |
| 2 | 470, 198, 377, 442, 143 |
| 11 | 235, 99, 377, 221, 143 |
| 13 | 235, 9, 377, 221, 13 |
| 235, 9, 29, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 235 x 9 x 29 x 17 x 1 = 596421540
Therefore, the lowest common multiple of 940,396,754,884,143 is 596421540.
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.
940 x 396 x 754 x 884 x 143 = 35479924571520
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
754 : 1, 2, 13, 26, 29, 58, 377, 754
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,396,754,884,143, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
396:2x 2x 3x 3x 11
754:2x 13x 29
884:2x 2x 13x 17
143:11x 13
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 11x 13x 13 = 59488
Therefore, the value for common factors is 59488.
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 = 35479924571520/(1x59488)
LCM = 35479924571520/59488
LCM = 596421540
Thus, we can understand that the LCM of 940,396,754,884,143 is 596421540.
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FAQs on LCM of 940, 396, 754, 884, 143
1. What is the LCM of 940, 396, 754, 884, 143?
Answer: LCM of 940, 396, 754, 884, 143 is 596421540.
2. How to calculate the LCM of 940, 396, 754, 884, 143?
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 940, 396, 754, 884, 143.
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}.