LCM of 727, 118, 424, 628, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 118, 424, 628, 618 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 727, 118, 424, 628, 618. So, keep reading to learn more.
Given numbers are 727,118,424,628,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,118,424,628,618 is 882288078216.
Find LCM of 727,118,424,628,618 with Prime Factorization
| 2 | 727, 118, 424, 628, 618 |
| 2 | 727, 59, 212, 314, 309 |
| 727, 59, 106, 157, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 727 x 59 x 106 x 157 x 309 = 882288078216
Therefore, the lowest common multiple of 727,118,424,628,618 is 882288078216.
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.
727 x 118 x 424 x 628 x 618 = 14116609251456
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.
727 : 1, 727
118 : 1, 2, 59, 118
424 : 1, 2, 4, 8, 53, 106, 212, 424
628 : 1, 2, 4, 157, 314, 628
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,118,424,628,618, is 1.
Now, the common factors can be found like this.
727:727
118:2x 59
424:2x 2x 2x 53
628:2x 2x 157
618:2x 3x 103
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 2 = 16
Therefore, the value for common factors is 16.
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 = 14116609251456/(1x16)
LCM = 14116609251456/16
LCM = 882288078216
Thus, we can understand that the LCM of 727,118,424,628,618 is 882288078216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 727, 118, 424, 628, 618
1. What is the LCM of 727, 118, 424, 628, 618?
Answer: LCM of 727, 118, 424, 628, 618 is 882288078216.
2. How to calculate the LCM of 727, 118, 424, 628, 618?
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 727, 118, 424, 628, 618.
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}.