Find the LCM of 681, 533, 247, 221 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 681, 533, 247, 221. So, keep reading to learn more.
Given numbers are 681,533,247,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,533,247,221 is 117240279.
Find LCM of 681,533,247,221 with Prime Factorization
13 | 681, 533, 247, 221 |
681, 41, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
13 x 681 x 41 x 19 x 17 = 117240279
Therefore, the lowest common multiple of 681,533,247,221 is 117240279.
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.
681 x 533 x 247 x 221 = 19813607151
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.
681 : 1, 3, 227, 681
533 : 1, 13, 41, 533
247 : 1, 13, 19, 247
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,533,247,221, is 1.
Now, the common factors can be found like this.
681:3x 227
533:13x 41
247:13x 19
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 19813607151/(1x169)
LCM = 19813607151/169
LCM = 117240279
Thus, we can understand that the LCM of 681,533,247,221 is 117240279.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 533, 247, 221?
Answer: LCM of 681, 533, 247, 221 is 117240279.
2. How to calculate the LCM of 681, 533, 247, 221?
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 681, 533, 247, 221.
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}.