LCM of 614, 126, 537, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 126, 537, 567 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, 126, 537, 567. So, keep reading to learn more.
Given numbers are 614,126,537,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,126,537,567 is 62316702.
Find LCM of 614,126,537,567 with Prime Factorization
| 2 | 614, 126, 537, 567 |
| 3 | 307, 63, 537, 567 |
| 3 | 307, 21, 179, 189 |
| 7 | 307, 7, 179, 63 |
| 307, 1, 179, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 307 x 1 x 179 x 9 = 62316702
Therefore, the lowest common multiple of 614,126,537,567 is 62316702.
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 126 x 537 x 567 = 23555713356
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
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
537 : 1, 3, 179, 537
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,126,537,567, is 1.
Now, the common factors can be found like this.
614:2x 307
126:2x 3x 3x 7
537:3x 179
567:3x 3x 3x 3x 7
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 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 23555713356/(1x378)
LCM = 23555713356/378
LCM = 62316702
Thus, we can understand that the LCM of 614,126,537,567 is 62316702.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 126, 537, 567
1. What is the LCM of 614, 126, 537, 567?
Answer: LCM of 614, 126, 537, 567 is 62316702.
2. How to calculate the LCM of 614, 126, 537, 567?
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, 126, 537, 567.
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}.