LCM of 984, 533, 899, 632, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 533, 899, 632, 298 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, 533, 899, 632, 298. So, keep reading to learn more.
Given numbers are 984,533,899,632,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,533,899,632,298 is 135366594168.
Find LCM of 984,533,899,632,298 with Prime Factorization
| 2 | 984, 533, 899, 632, 298 |
| 2 | 492, 533, 899, 316, 149 |
| 2 | 246, 533, 899, 158, 149 |
| 41 | 123, 533, 899, 79, 149 |
| 3, 13, 899, 79, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 3 x 13 x 899 x 79 x 149 = 135366594168
Therefore, the lowest common multiple of 984,533,899,632,298 is 135366594168.
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 533 x 899 x 632 x 298 = 88800485774208
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
533 : 1, 13, 41, 533
899 : 1, 29, 31, 899
632 : 1, 2, 4, 8, 79, 158, 316, 632
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,533,899,632,298, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
533:13x 41
899:29x 31
632:2x 2x 2x 79
298:2x 149
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 41 = 656
Therefore, the value for common factors is 656.
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 = 88800485774208/(1x656)
LCM = 88800485774208/656
LCM = 135366594168
Thus, we can understand that the LCM of 984,533,899,632,298 is 135366594168.
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FAQs on LCM of 984, 533, 899, 632, 298
1. What is the LCM of 984, 533, 899, 632, 298?
Answer: LCM of 984, 533, 899, 632, 298 is 135366594168.
2. How to calculate the LCM of 984, 533, 899, 632, 298?
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, 533, 899, 632, 298.
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}.