LCM of 681, 555, 674, 814, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 555, 674, 814, 653 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, 555, 674, 814, 653. So, keep reading to learn more.
Given numbers are 681,555,674,814,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,555,674,814,653 is 609936471870.
Find LCM of 681,555,674,814,653 with Prime Factorization
| 2 | 681, 555, 674, 814, 653 |
| 3 | 681, 555, 337, 407, 653 |
| 37 | 227, 185, 337, 407, 653 |
| 227, 5, 337, 11, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 227 x 5 x 337 x 11 x 653 = 609936471870
Therefore, the lowest common multiple of 681,555,674,814,653 is 609936471870.
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 555 x 674 x 814 x 653 = 135405896755140
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
555 : 1, 3, 5, 15, 37, 111, 185, 555
674 : 1, 2, 337, 674
814 : 1, 2, 11, 22, 37, 74, 407, 814
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,555,674,814,653, is 1.
Now, the common factors can be found like this.
681:3x 227
555:3x 5x 37
674:2x 337
814:2x 11x 37
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 135405896755140/(1x222)
LCM = 135405896755140/222
LCM = 609936471870
Thus, we can understand that the LCM of 681,555,674,814,653 is 609936471870.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 681, 555, 674, 814, 653
1. What is the LCM of 681, 555, 674, 814, 653?
Answer: LCM of 681, 555, 674, 814, 653 is 609936471870.
2. How to calculate the LCM of 681, 555, 674, 814, 653?
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, 555, 674, 814, 653.
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}.