Find the LCM of 314, 971, 218, 521 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, 971, 218, 521. So, keep reading to learn more.
Given numbers are 314,971,218,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,971,218,521 is 17314625366.
Find LCM of 314,971,218,521 with Prime Factorization
2 | 314, 971, 218, 521 |
157, 971, 109, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 971 x 109 x 521 = 17314625366
Therefore, the lowest common multiple of 314,971,218,521 is 17314625366.
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 971 x 218 x 521 = 34629250732
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
971 : 1, 971
218 : 1, 2, 109, 218
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,971,218,521, is 1.
Now, the common factors can be found like this.
314:2x 157
971:971
218:2x 109
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 34629250732/(1x2)
LCM = 34629250732/2
LCM = 17314625366
Thus, we can understand that the LCM of 314,971,218,521 is 17314625366.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 971, 218, 521?
Answer: LCM of 314, 971, 218, 521 is 17314625366.
2. How to calculate the LCM of 314, 971, 218, 521?
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, 971, 218, 521.
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}.