LCM of 198, 703, 963, 890, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 703, 963, 890, 152 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 198, 703, 963, 890, 152. So, keep reading to learn more.
Given numbers are 198,703,963,890,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,703,963,890,152 is 26510889240.
Find LCM of 198,703,963,890,152 with Prime Factorization
| 2 | 198, 703, 963, 890, 152 |
| 3 | 99, 703, 963, 445, 76 |
| 3 | 33, 703, 321, 445, 76 |
| 19 | 11, 703, 107, 445, 76 |
| 11, 37, 107, 445, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 11 x 37 x 107 x 445 x 4 = 26510889240
Therefore, the lowest common multiple of 198,703,963,890,152 is 26510889240.
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.
198 x 703 x 963 x 890 x 152 = 18133448240160
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
703 : 1, 19, 37, 703
963 : 1, 3, 9, 107, 321, 963
890 : 1, 2, 5, 10, 89, 178, 445, 890
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,703,963,890,152, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
703:19x 37
963:3x 3x 107
890:2x 5x 89
152:2x 2x 2x 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 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 18133448240160/(1x684)
LCM = 18133448240160/684
LCM = 26510889240
Thus, we can understand that the LCM of 198,703,963,890,152 is 26510889240.
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FAQs on LCM of 198, 703, 963, 890, 152
1. What is the LCM of 198, 703, 963, 890, 152?
Answer: LCM of 198, 703, 963, 890, 152 is 26510889240.
2. How to calculate the LCM of 198, 703, 963, 890, 152?
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 198, 703, 963, 890, 152.
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}.