LCM of 314, 401, 962, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 401, 962, 364 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 314, 401, 962, 364. So, keep reading to learn more.
Given numbers are 314,401,962,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,401,962,364 is 847904876.
Find LCM of 314,401,962,364 with Prime Factorization
| 2 | 314, 401, 962, 364 |
| 13 | 157, 401, 481, 182 |
| 157, 401, 37, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 157 x 401 x 37 x 14 = 847904876
Therefore, the lowest common multiple of 314,401,962,364 is 847904876.
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.
314 x 401 x 962 x 364 = 44091053552
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.
314 : 1, 2, 157, 314
401 : 1, 401
962 : 1, 2, 13, 26, 37, 74, 481, 962
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,401,962,364, is 1.
Now, the common factors can be found like this.
314:2x 157
401:401
962:2x 13x 37
364:2x 2x 7x 13
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 13 = 52
Therefore, the value for common factors is 52.
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 = 44091053552/(1x52)
LCM = 44091053552/52
LCM = 847904876
Thus, we can understand that the LCM of 314,401,962,364 is 847904876.
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FAQs on LCM of 314, 401, 962, 364
1. What is the LCM of 314, 401, 962, 364?
Answer: LCM of 314, 401, 962, 364 is 847904876.
2. How to calculate the LCM of 314, 401, 962, 364?
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 314, 401, 962, 364.
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}.