LCM of 314, 559, 903, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 559, 903, 942 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 314, 559, 903, 942. So, keep reading to learn more.
Given numbers are 314,559,903,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,559,903,942 is 3686046.
Find LCM of 314,559,903,942 with Prime Factorization
| 2 | 314, 559, 903, 942 |
| 3 | 157, 559, 903, 471 |
| 43 | 157, 559, 301, 157 |
| 157 | 157, 13, 7, 157 |
| 1, 13, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 157 x 1 x 13 x 7 x 1 = 3686046
Therefore, the lowest common multiple of 314,559,903,942 is 3686046.
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.
314 x 559 x 903 x 942 = 149306979276
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.
314 : 1, 2, 157, 314
559 : 1, 13, 43, 559
903 : 1, 3, 7, 21, 43, 129, 301, 903
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,559,903,942, is 1.
Now, the common factors can be found like this.
314:2x 157
559:13x 43
903:3x 7x 43
942:2x 3x 157
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 43x 157 = 40506
Therefore, the value for common factors is 40506.
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 = 149306979276/(1x40506)
LCM = 149306979276/40506
LCM = 3686046
Thus, we can understand that the LCM of 314,559,903,942 is 3686046.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 559, 903, 942
1. What is the LCM of 314, 559, 903, 942?
Answer: LCM of 314, 559, 903, 942 is 3686046.
2. How to calculate the LCM of 314, 559, 903, 942?
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 314, 559, 903, 942.
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}.