LCM of 308, 506, 754, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 506, 754, 194 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 308, 506, 754, 194. So, keep reading to learn more.
Given numbers are 308,506,754,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,506,754,194 is 259054796.
Find LCM of 308,506,754,194 with Prime Factorization
| 2 | 308, 506, 754, 194 |
| 11 | 154, 253, 377, 97 |
| 14, 23, 377, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 14 x 23 x 377 x 97 = 259054796
Therefore, the lowest common multiple of 308,506,754,194 is 259054796.
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.
308 x 506 x 754 x 194 = 22796822048
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
506 : 1, 2, 11, 22, 23, 46, 253, 506
754 : 1, 2, 13, 26, 29, 58, 377, 754
194 : 1, 2, 97, 194
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,506,754,194, is 2.
Now, the common factors can be found like this.
308:2x 2x 7x 11
506:2x 11x 23
754:2x 13x 29
194:2x 97
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 11 = 44
Therefore, the value for common factors is 44.
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 = 22796822048/(2x44)
LCM = 22796822048/88
LCM = 259054796
Thus, we can understand that the LCM of 308,506,754,194 is 259054796.
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FAQs on LCM of 308, 506, 754, 194
1. What is the LCM of 308, 506, 754, 194?
Answer: LCM of 308, 506, 754, 194 is 259054796.
2. How to calculate the LCM of 308, 506, 754, 194?
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 308, 506, 754, 194.
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}.