LCM of 198, 595, 969, 976, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 595, 969, 976, 734 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, 595, 969, 976, 734. So, keep reading to learn more.
Given numbers are 198,595,969,976,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,595,969,976,734 is 400886695440.
Find LCM of 198,595,969,976,734 with Prime Factorization
| 2 | 198, 595, 969, 976, 734 |
| 3 | 99, 595, 969, 488, 367 |
| 17 | 33, 595, 323, 488, 367 |
| 33, 35, 19, 488, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 33 x 35 x 19 x 488 x 367 = 400886695440
Therefore, the lowest common multiple of 198,595,969,976,734 is 400886695440.
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 595 x 969 x 976 x 734 = 81780885869760
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
969 : 1, 3, 17, 19, 51, 57, 323, 969
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,595,969,976,734, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
595:5x 7x 17
969:3x 17x 19
976:2x 2x 2x 2x 61
734:2x 367
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 17 = 204
Therefore, the value for common factors is 204.
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 = 81780885869760/(1x204)
LCM = 81780885869760/204
LCM = 400886695440
Thus, we can understand that the LCM of 198,595,969,976,734 is 400886695440.
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FAQs on LCM of 198, 595, 969, 976, 734
1. What is the LCM of 198, 595, 969, 976, 734?
Answer: LCM of 198, 595, 969, 976, 734 is 400886695440.
2. How to calculate the LCM of 198, 595, 969, 976, 734?
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, 595, 969, 976, 734.
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}.