LCM of 614, 618, 713, 414, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 618, 713, 414, 772 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, 618, 713, 414, 772. So, keep reading to learn more.
Given numbers are 614,618,713,414,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,618,713,414,772 is 156648030804.
Find LCM of 614,618,713,414,772 with Prime Factorization
| 2 | 614, 618, 713, 414, 772 |
| 3 | 307, 309, 713, 207, 386 |
| 23 | 307, 103, 713, 69, 386 |
| 307, 103, 31, 3, 386 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 307 x 103 x 31 x 3 x 386 = 156648030804
Therefore, the lowest common multiple of 614,618,713,414,772 is 156648030804.
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 618 x 713 x 414 x 772 = 86469713003808
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
618 : 1, 2, 3, 6, 103, 206, 309, 618
713 : 1, 23, 31, 713
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,618,713,414,772, is 1.
Now, the common factors can be found like this.
614:2x 307
618:2x 3x 103
713:23x 31
414:2x 3x 3x 23
772:2x 2x 193
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 86469713003808/(1x552)
LCM = 86469713003808/552
LCM = 156648030804
Thus, we can understand that the LCM of 614,618,713,414,772 is 156648030804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 618, 713, 414, 772
1. What is the LCM of 614, 618, 713, 414, 772?
Answer: LCM of 614, 618, 713, 414, 772 is 156648030804.
2. How to calculate the LCM of 614, 618, 713, 414, 772?
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, 618, 713, 414, 772.
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}.