LCM of 678, 948, 618, 240, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 948, 618, 240, 102 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 678, 948, 618, 240, 102. So, keep reading to learn more.
Given numbers are 678,948,618,240,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,948,618,240,102 is 3751482480.
Find LCM of 678,948,618,240,102 with Prime Factorization
| 2 | 678, 948, 618, 240, 102 |
| 2 | 339, 474, 309, 120, 51 |
| 3 | 339, 237, 309, 60, 51 |
| 113, 79, 103, 20, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 79 x 103 x 20 x 17 = 3751482480
Therefore, the lowest common multiple of 678,948,618,240,102 is 3751482480.
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.
678 x 948 x 618 x 240 x 102 = 9723842588160
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
618 : 1, 2, 3, 6, 103, 206, 309, 618
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
102 : 1, 2, 3, 6, 17, 34, 51, 102
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,948,618,240,102, is 6.
Now, the common factors can be found like this.
678:2x 3x 113
948:2x 2x 3x 79
618:2x 3x 103
240:2x 2x 2x 2x 3x 5
102:2x 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 = 9723842588160/(6x432)
LCM = 9723842588160/2592
LCM = 3751482480
Thus, we can understand that the LCM of 678,948,618,240,102 is 3751482480.
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FAQs on LCM of 678, 948, 618, 240, 102
1. What is the LCM of 678, 948, 618, 240, 102?
Answer: LCM of 678, 948, 618, 240, 102 is 3751482480.
2. How to calculate the LCM of 678, 948, 618, 240, 102?
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 678, 948, 618, 240, 102.
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}.