LCM of 521, 112, 314, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 112, 314, 148 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 521, 112, 314, 148. So, keep reading to learn more.
Given numbers are 521,112,314,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,112,314,148 is 338966768.
Find LCM of 521,112,314,148 with Prime Factorization
| 2 | 521, 112, 314, 148 |
| 2 | 521, 56, 157, 74 |
| 521, 28, 157, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 521 x 28 x 157 x 37 = 338966768
Therefore, the lowest common multiple of 521,112,314,148 is 338966768.
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.
521 x 112 x 314 x 148 = 2711734144
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.
521 : 1, 521
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
314 : 1, 2, 157, 314
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,112,314,148, is 1.
Now, the common factors can be found like this.
521:521
112:2x 2x 2x 2x 7
314:2x 157
148:2x 2x 37
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 2 = 8
Therefore, the value for common factors is 8.
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 = 2711734144/(1x8)
LCM = 2711734144/8
LCM = 338966768
Thus, we can understand that the LCM of 521,112,314,148 is 338966768.
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FAQs on LCM of 521, 112, 314, 148
1. What is the LCM of 521, 112, 314, 148?
Answer: LCM of 521, 112, 314, 148 is 338966768.
2. How to calculate the LCM of 521, 112, 314, 148?
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 521, 112, 314, 148.
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}.