LCM of 987, 353, 263, 728, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 353, 263, 728, 684 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, 353, 263, 728, 684. So, keep reading to learn more.
Given numbers are 987,353,263,728,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,353,263,728,684 is 543195047304.
Find LCM of 987,353,263,728,684 with Prime Factorization
| 2 | 987, 353, 263, 728, 684 |
| 2 | 987, 353, 263, 364, 342 |
| 3 | 987, 353, 263, 182, 171 |
| 7 | 329, 353, 263, 182, 57 |
| 47, 353, 263, 26, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 353 x 263 x 26 x 57 = 543195047304
Therefore, the lowest common multiple of 987,353,263,728,684 is 543195047304.
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 353 x 263 x 728 x 684 = 45628383973536
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
353 : 1, 353
263 : 1, 263
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,353,263,728,684, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
353:353
263:263
728:2x 2x 2x 7x 13
684:2x 2x 3x 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 2x 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 45628383973536/(1x84)
LCM = 45628383973536/84
LCM = 543195047304
Thus, we can understand that the LCM of 987,353,263,728,684 is 543195047304.
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FAQs on LCM of 987, 353, 263, 728, 684
1. What is the LCM of 987, 353, 263, 728, 684?
Answer: LCM of 987, 353, 263, 728, 684 is 543195047304.
2. How to calculate the LCM of 987, 353, 263, 728, 684?
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, 353, 263, 728, 684.
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}.