LCM of 984, 872, 938, 236, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 872, 938, 236, 134 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, 872, 938, 236, 134. So, keep reading to learn more.
Given numbers are 984,872,938,236,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,872,938,236,134 is 2967880776.
Find LCM of 984,872,938,236,134 with Prime Factorization
| 2 | 984, 872, 938, 236, 134 |
| 2 | 492, 436, 469, 118, 67 |
| 2 | 246, 218, 469, 59, 67 |
| 67 | 123, 109, 469, 59, 67 |
| 123, 109, 7, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 67 x 123 x 109 x 7 x 59 x 1 = 2967880776
Therefore, the lowest common multiple of 984,872,938,236,134 is 2967880776.
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 872 x 938 x 236 x 134 = 25452545534976
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
872 : 1, 2, 4, 8, 109, 218, 436, 872
938 : 1, 2, 7, 14, 67, 134, 469, 938
236 : 1, 2, 4, 59, 118, 236
134 : 1, 2, 67, 134
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,872,938,236,134, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
872:2x 2x 2x 109
938:2x 7x 67
236:2x 2x 59
134:2x 67
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 2x 2x 67 = 4288
Therefore, the value for common factors is 4288.
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 = 25452545534976/(2x4288)
LCM = 25452545534976/8576
LCM = 2967880776
Thus, we can understand that the LCM of 984,872,938,236,134 is 2967880776.
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FAQs on LCM of 984, 872, 938, 236, 134
1. What is the LCM of 984, 872, 938, 236, 134?
Answer: LCM of 984, 872, 938, 236, 134 is 2967880776.
2. How to calculate the LCM of 984, 872, 938, 236, 134?
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, 872, 938, 236, 134.
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}.