LCM of 338, 667, 186, 434, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 667, 186, 434, 735 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 338, 667, 186, 434, 735. So, keep reading to learn more.
Given numbers are 338,667,186,434,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,667,186,434,735 is 5136787110.
Find LCM of 338,667,186,434,735 with Prime Factorization
| 2 | 338, 667, 186, 434, 735 |
| 3 | 169, 667, 93, 217, 735 |
| 7 | 169, 667, 31, 217, 245 |
| 31 | 169, 667, 31, 31, 35 |
| 169, 667, 1, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 169 x 667 x 1 x 1 x 35 = 5136787110
Therefore, the lowest common multiple of 338,667,186,434,735 is 5136787110.
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.
338 x 667 x 186 x 434 x 735 = 13376193634440
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.
338 : 1, 2, 13, 26, 169, 338
667 : 1, 23, 29, 667
186 : 1, 2, 3, 6, 31, 62, 93, 186
434 : 1, 2, 7, 14, 31, 62, 217, 434
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,667,186,434,735, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
667:23x 29
186:2x 3x 31
434:2x 7x 31
735:3x 5x 7x 7
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 3x 7x 31 = 2604
Therefore, the value for common factors is 2604.
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 = 13376193634440/(1x2604)
LCM = 13376193634440/2604
LCM = 5136787110
Thus, we can understand that the LCM of 338,667,186,434,735 is 5136787110.
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FAQs on LCM of 338, 667, 186, 434, 735
1. What is the LCM of 338, 667, 186, 434, 735?
Answer: LCM of 338, 667, 186, 434, 735 is 5136787110.
2. How to calculate the LCM of 338, 667, 186, 434, 735?
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 338, 667, 186, 434, 735.
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}.