LCM of 727, 989, 845, 417, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 989, 845, 417, 278 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, 989, 845, 417, 278. So, keep reading to learn more.
Given numbers are 727,989,845,417,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,989,845,417,278 is 506702984190.
Find LCM of 727,989,845,417,278 with Prime Factorization
| 139 | 727, 989, 845, 417, 278 |
| 727, 989, 845, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
139 x 727 x 989 x 845 x 3 x 2 = 506702984190
Therefore, the lowest common multiple of 727,989,845,417,278 is 506702984190.
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 989 x 845 x 417 x 278 = 70431714802410
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
989 : 1, 23, 43, 989
845 : 1, 5, 13, 65, 169, 845
417 : 1, 3, 139, 417
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,989,845,417,278, is 1.
Now, the common factors can be found like this.
727:727
989:23x 43
845:5x 13x 13
417:3x 139
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
139 = 139
Therefore, the value for common factors is 139.
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 = 70431714802410/(1x139)
LCM = 70431714802410/139
LCM = 506702984190
Thus, we can understand that the LCM of 727,989,845,417,278 is 506702984190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 727, 989, 845, 417, 278
1. What is the LCM of 727, 989, 845, 417, 278?
Answer: LCM of 727, 989, 845, 417, 278 is 506702984190.
2. How to calculate the LCM of 727, 989, 845, 417, 278?
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, 989, 845, 417, 278.
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}.