LCM of 771, 498, 361, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 498, 361, 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 771, 498, 361, 614. So, keep reading to learn more.
Given numbers are 771,498,361,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,498,361,614 is 14184304422.
Find LCM of 771,498,361,614 with Prime Factorization
| 2 | 771, 498, 361, 614 |
| 3 | 771, 249, 361, 307 |
| 257, 83, 361, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 257 x 83 x 361 x 307 = 14184304422
Therefore, the lowest common multiple of 771,498,361,614 is 14184304422.
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.
771 x 498 x 361 x 614 = 85105826532
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.
771 : 1, 3, 257, 771
498 : 1, 2, 3, 6, 83, 166, 249, 498
361 : 1, 19, 361
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,498,361,614, is 1.
Now, the common factors can be found like this.
771:3x 257
498:2x 3x 83
361:19x 19
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 3 = 6
Therefore, the value for common factors is 6.
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 = 85105826532/(1x6)
LCM = 85105826532/6
LCM = 14184304422
Thus, we can understand that the LCM of 771,498,361,614 is 14184304422.
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FAQs on LCM of 771, 498, 361, 614
1. What is the LCM of 771, 498, 361, 614?
Answer: LCM of 771, 498, 361, 614 is 14184304422.
2. How to calculate the LCM of 771, 498, 361, 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 771, 498, 361, 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}.