LCM of 281, 301, 774, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 301, 774, 183 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 281, 301, 774, 183. So, keep reading to learn more.
Given numbers are 281,301,774,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,301,774,183 is 92869938.
Find LCM of 281,301,774,183 with Prime Factorization
| 3 | 281, 301, 774, 183 |
| 43 | 281, 301, 258, 61 |
| 281, 7, 6, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 281 x 7 x 6 x 61 = 92869938
Therefore, the lowest common multiple of 281,301,774,183 is 92869938.
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.
281 x 301 x 774 x 183 = 11980222002
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.
281 : 1, 281
301 : 1, 7, 43, 301
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,301,774,183, is 1.
Now, the common factors can be found like this.
281:281
301:7x 43
774:2x 3x 3x 43
183:3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 11980222002/(1x129)
LCM = 11980222002/129
LCM = 92869938
Thus, we can understand that the LCM of 281,301,774,183 is 92869938.
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FAQs on LCM of 281, 301, 774, 183
1. What is the LCM of 281, 301, 774, 183?
Answer: LCM of 281, 301, 774, 183 is 92869938.
2. How to calculate the LCM of 281, 301, 774, 183?
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 281, 301, 774, 183.
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}.