LCM of 987, 798, 152, 454, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 798, 152, 454, 678 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 987, 798, 152, 454, 678. So, keep reading to learn more.
Given numbers are 987,798,152,454,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,798,152,454,678 is 3848265624.
Find LCM of 987,798,152,454,678 with Prime Factorization
| 2 | 987, 798, 152, 454, 678 |
| 3 | 987, 399, 76, 227, 339 |
| 7 | 329, 133, 76, 227, 113 |
| 19 | 47, 19, 76, 227, 113 |
| 47, 1, 4, 227, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 47 x 1 x 4 x 227 x 113 = 3848265624
Therefore, the lowest common multiple of 987,798,152,454,678 is 3848265624.
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.
987 x 798 x 152 x 454 x 678 = 36850991615424
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
152 : 1, 2, 4, 8, 19, 38, 76, 152
454 : 1, 2, 227, 454
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,798,152,454,678, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
798:2x 3x 7x 19
152:2x 2x 2x 19
454:2x 227
678:2x 3x 113
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 3x 3x 7x 19 = 9576
Therefore, the value for common factors is 9576.
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 = 36850991615424/(1x9576)
LCM = 36850991615424/9576
LCM = 3848265624
Thus, we can understand that the LCM of 987,798,152,454,678 is 3848265624.
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FAQs on LCM of 987, 798, 152, 454, 678
1. What is the LCM of 987, 798, 152, 454, 678?
Answer: LCM of 987, 798, 152, 454, 678 is 3848265624.
2. How to calculate the LCM of 987, 798, 152, 454, 678?
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 987, 798, 152, 454, 678.
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}.