LCM of 302, 921, 674, 998, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 921, 674, 998, 614 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 302, 921, 674, 998, 614. So, keep reading to learn more.
Given numbers are 302,921,674,998,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,921,674,998,614 is 46773193146.
Find LCM of 302,921,674,998,614 with Prime Factorization
| 2 | 302, 921, 674, 998, 614 |
| 307 | 151, 921, 337, 499, 307 |
| 151, 3, 337, 499, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 307 x 151 x 3 x 337 x 499 x 1 = 46773193146
Therefore, the lowest common multiple of 302,921,674,998,614 is 46773193146.
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.
302 x 921 x 674 x 998 x 614 = 114874962366576
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.
302 : 1, 2, 151, 302
921 : 1, 3, 307, 921
674 : 1, 2, 337, 674
998 : 1, 2, 499, 998
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,921,674,998,614, is 1.
Now, the common factors can be found like this.
302:2x 151
921:3x 307
674:2x 337
998:2x 499
614:2x 307
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 2x 307 = 2456
Therefore, the value for common factors is 2456.
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 = 114874962366576/(1x2456)
LCM = 114874962366576/2456
LCM = 46773193146
Thus, we can understand that the LCM of 302,921,674,998,614 is 46773193146.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 921, 674, 998, 614
1. What is the LCM of 302, 921, 674, 998, 614?
Answer: LCM of 302, 921, 674, 998, 614 is 46773193146.
2. How to calculate the LCM of 302, 921, 674, 998, 614?
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 302, 921, 674, 998, 614.
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}.