LCM of 103, 867, 989, 510, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 867, 989, 510, 933 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 103, 867, 989, 510, 933. So, keep reading to learn more.
Given numbers are 103,867,989,510,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,867,989,510,933 is 274671122790.
Find LCM of 103,867,989,510,933 with Prime Factorization
| 3 | 103, 867, 989, 510, 933 |
| 17 | 103, 289, 989, 170, 311 |
| 103, 17, 989, 10, 311 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 103 x 17 x 989 x 10 x 311 = 274671122790
Therefore, the lowest common multiple of 103,867,989,510,933 is 274671122790.
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.
103 x 867 x 989 x 510 x 933 = 42024681786870
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.
103 : 1, 103
867 : 1, 3, 17, 51, 289, 867
989 : 1, 23, 43, 989
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,867,989,510,933, is 1.
Now, the common factors can be found like this.
103:103
867:3x 17x 17
989:23x 43
510:2x 3x 5x 17
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 42024681786870/(1x153)
LCM = 42024681786870/153
LCM = 274671122790
Thus, we can understand that the LCM of 103,867,989,510,933 is 274671122790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 867, 989, 510, 933
1. What is the LCM of 103, 867, 989, 510, 933?
Answer: LCM of 103, 867, 989, 510, 933 is 274671122790.
2. How to calculate the LCM of 103, 867, 989, 510, 933?
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 103, 867, 989, 510, 933.
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}.