LCM of 102, 969, 527, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 969, 527, 114 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 102, 969, 527, 114. So, keep reading to learn more.
Given numbers are 102,969,527,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,969,527,114 is 60078.
Find LCM of 102,969,527,114 with Prime Factorization
| 2 | 102, 969, 527, 114 |
| 3 | 51, 969, 527, 57 |
| 17 | 17, 323, 527, 19 |
| 19 | 1, 19, 31, 19 |
| 1, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 1 x 1 x 31 x 1 = 60078
Therefore, the lowest common multiple of 102,969,527,114 is 60078.
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.
102 x 969 x 527 x 114 = 5937989364
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
969 : 1, 3, 17, 19, 51, 57, 323, 969
527 : 1, 17, 31, 527
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,969,527,114, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
969:3x 17x 19
527:17x 31
114:2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 17x 19 = 98838
Therefore, the value for common factors is 98838.
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 = 5937989364/(1x98838)
LCM = 5937989364/98838
LCM = 60078
Thus, we can understand that the LCM of 102,969,527,114 is 60078.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 969, 527, 114
1. What is the LCM of 102, 969, 527, 114?
Answer: LCM of 102, 969, 527, 114 is 60078.
2. How to calculate the LCM of 102, 969, 527, 114?
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 102, 969, 527, 114.
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}.