LCM of 614, 821, 699, 674, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 821, 699, 674, 821 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 614, 821, 699, 674, 821. So, keep reading to learn more.
Given numbers are 614,821,699,674,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,821,699,674,821 is 118745894922.
Find LCM of 614,821,699,674,821 with Prime Factorization
| 2 | 614, 821, 699, 674, 821 |
| 821 | 307, 821, 699, 337, 821 |
| 307, 1, 699, 337, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 821 x 307 x 1 x 699 x 337 x 1 = 118745894922
Therefore, the lowest common multiple of 614,821,699,674,821 is 118745894922.
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.
614 x 821 x 699 x 674 x 821 = 194980759461924
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.
614 : 1, 2, 307, 614
821 : 1, 821
699 : 1, 3, 233, 699
674 : 1, 2, 337, 674
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,821,699,674,821, is 1.
Now, the common factors can be found like this.
614:2x 307
821:821
699:3x 233
674:2x 337
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 821 = 1642
Therefore, the value for common factors is 1642.
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 = 194980759461924/(1x1642)
LCM = 194980759461924/1642
LCM = 118745894922
Thus, we can understand that the LCM of 614,821,699,674,821 is 118745894922.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 821, 699, 674, 821
1. What is the LCM of 614, 821, 699, 674, 821?
Answer: LCM of 614, 821, 699, 674, 821 is 118745894922.
2. How to calculate the LCM of 614, 821, 699, 674, 821?
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 614, 821, 699, 674, 821.
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}.