LCM of 154, 686, 245, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 686, 245, 383 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 154, 686, 245, 383. So, keep reading to learn more.
Given numbers are 154,686,245,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,686,245,383 is 14450590.
Find LCM of 154,686,245,383 with Prime Factorization
| 2 | 154, 686, 245, 383 |
| 7 | 77, 343, 245, 383 |
| 7 | 11, 49, 35, 383 |
| 11, 7, 5, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 11 x 7 x 5 x 383 = 14450590
Therefore, the lowest common multiple of 154,686,245,383 is 14450590.
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.
154 x 686 x 245 x 383 = 9913104740
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
686 : 1, 2, 7, 14, 49, 98, 343, 686
245 : 1, 5, 7, 35, 49, 245
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,686,245,383, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
686:2x 7x 7x 7
245:5x 7x 7
383:383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7 = 686
Therefore, the value for common factors is 686.
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 = 9913104740/(1x686)
LCM = 9913104740/686
LCM = 14450590
Thus, we can understand that the LCM of 154,686,245,383 is 14450590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 686, 245, 383
1. What is the LCM of 154, 686, 245, 383?
Answer: LCM of 154, 686, 245, 383 is 14450590.
2. How to calculate the LCM of 154, 686, 245, 383?
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 154, 686, 245, 383.
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}.