LCM of 984, 398, 708, 738, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 398, 708, 738, 865 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 984, 398, 708, 738, 865. So, keep reading to learn more.
Given numbers are 984,398,708,738,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,398,708,738,865 is 29980408680.
Find LCM of 984,398,708,738,865 with Prime Factorization
| 2 | 984, 398, 708, 738, 865 |
| 2 | 492, 199, 354, 369, 865 |
| 3 | 246, 199, 177, 369, 865 |
| 41 | 82, 199, 59, 123, 865 |
| 2, 199, 59, 3, 865 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 2 x 199 x 59 x 3 x 865 = 29980408680
Therefore, the lowest common multiple of 984,398,708,738,865 is 29980408680.
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.
984 x 398 x 708 x 738 x 865 = 177004332846720
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
398 : 1, 2, 199, 398
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,398,708,738,865, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
398:2x 199
708:2x 2x 3x 59
738:2x 3x 3x 41
865:5x 173
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 41 = 5904
Therefore, the value for common factors is 5904.
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 = 177004332846720/(1x5904)
LCM = 177004332846720/5904
LCM = 29980408680
Thus, we can understand that the LCM of 984,398,708,738,865 is 29980408680.
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FAQs on LCM of 984, 398, 708, 738, 865
1. What is the LCM of 984, 398, 708, 738, 865?
Answer: LCM of 984, 398, 708, 738, 865 is 29980408680.
2. How to calculate the LCM of 984, 398, 708, 738, 865?
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 984, 398, 708, 738, 865.
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}.