LCM of 946, 559, 740, 735, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 559, 740, 735, 129 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 946, 559, 740, 735, 129. So, keep reading to learn more.
Given numbers are 946,559,740,735,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,559,740,735,129 is 668888220.
Find LCM of 946,559,740,735,129 with Prime Factorization
| 2 | 946, 559, 740, 735, 129 |
| 3 | 473, 559, 370, 735, 129 |
| 5 | 473, 559, 370, 245, 43 |
| 43 | 473, 559, 74, 49, 43 |
| 11, 13, 74, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 11 x 13 x 74 x 49 x 1 = 668888220
Therefore, the lowest common multiple of 946,559,740,735,129 is 668888220.
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.
946 x 559 x 740 x 735 x 129 = 37103229563400
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
559 : 1, 13, 43, 559
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,559,740,735,129, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
559:13x 43
740:2x 2x 5x 37
735:3x 5x 7x 7
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 43x 43 = 55470
Therefore, the value for common factors is 55470.
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 = 37103229563400/(1x55470)
LCM = 37103229563400/55470
LCM = 668888220
Thus, we can understand that the LCM of 946,559,740,735,129 is 668888220.
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FAQs on LCM of 946, 559, 740, 735, 129
1. What is the LCM of 946, 559, 740, 735, 129?
Answer: LCM of 946, 559, 740, 735, 129 is 668888220.
2. How to calculate the LCM of 946, 559, 740, 735, 129?
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 946, 559, 740, 735, 129.
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}.