LCM of 618, 387, 712, 514, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 387, 712, 514, 612 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 618, 387, 712, 514, 612. So, keep reading to learn more.
Given numbers are 618,387,712,514,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,387,712,514,612 is 123996728808.
Find LCM of 618,387,712,514,612 with Prime Factorization
| 2 | 618, 387, 712, 514, 612 |
| 2 | 309, 387, 356, 257, 306 |
| 3 | 309, 387, 178, 257, 153 |
| 3 | 103, 129, 178, 257, 51 |
| 103, 43, 178, 257, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 103 x 43 x 178 x 257 x 17 = 123996728808
Therefore, the lowest common multiple of 618,387,712,514,612 is 123996728808.
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.
618 x 387 x 712 x 514 x 612 = 53566586845056
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
387 : 1, 3, 9, 43, 129, 387
712 : 1, 2, 4, 8, 89, 178, 356, 712
514 : 1, 2, 257, 514
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,387,712,514,612, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
387:3x 3x 43
712:2x 2x 2x 89
514:2x 257
612:2x 2x 3x 3x 17
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 53566586845056/(1x432)
LCM = 53566586845056/432
LCM = 123996728808
Thus, we can understand that the LCM of 618,387,712,514,612 is 123996728808.
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FAQs on LCM of 618, 387, 712, 514, 612
1. What is the LCM of 618, 387, 712, 514, 612?
Answer: LCM of 618, 387, 712, 514, 612 is 123996728808.
2. How to calculate the LCM of 618, 387, 712, 514, 612?
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 618, 387, 712, 514, 612.
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}.