LCM of 331, 298, 253, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 298, 253, 894 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 331, 298, 253, 894. So, keep reading to learn more.
Given numbers are 331,298,253,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,298,253,894 is 74866242.
Find LCM of 331,298,253,894 with Prime Factorization
| 2 | 331, 298, 253, 894 |
| 149 | 331, 149, 253, 447 |
| 331, 1, 253, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 331 x 1 x 253 x 3 = 74866242
Therefore, the lowest common multiple of 331,298,253,894 is 74866242.
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.
331 x 298 x 253 x 894 = 22310140116
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.
331 : 1, 331
298 : 1, 2, 149, 298
253 : 1, 11, 23, 253
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,298,253,894, is 1.
Now, the common factors can be found like this.
331:331
298:2x 149
253:11x 23
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 149 = 298
Therefore, the value for common factors is 298.
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 = 22310140116/(1x298)
LCM = 22310140116/298
LCM = 74866242
Thus, we can understand that the LCM of 331,298,253,894 is 74866242.
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FAQs on LCM of 331, 298, 253, 894
1. What is the LCM of 331, 298, 253, 894?
Answer: LCM of 331, 298, 253, 894 is 74866242.
2. How to calculate the LCM of 331, 298, 253, 894?
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 331, 298, 253, 894.
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}.