LCM of 198, 198, 749, 902, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 198, 749, 902, 184 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, 198, 749, 902, 184. So, keep reading to learn more.
Given numbers are 198,198,749,902,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,198,749,902,184 is 559395144.
Find LCM of 198,198,749,902,184 with Prime Factorization
| 2 | 198, 198, 749, 902, 184 |
| 3 | 99, 99, 749, 451, 92 |
| 3 | 33, 33, 749, 451, 92 |
| 11 | 11, 11, 749, 451, 92 |
| 1, 1, 749, 41, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 1 x 1 x 749 x 41 x 92 = 559395144
Therefore, the lowest common multiple of 198,198,749,902,184 is 559395144.
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 198 x 749 x 902 x 184 = 4873450494528
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
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
749 : 1, 7, 107, 749
902 : 1, 2, 11, 22, 41, 82, 451, 902
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,198,749,902,184, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
198:2x 3x 3x 11
749:7x 107
902:2x 11x 41
184:2x 2x 2x 23
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 3x 3x 11x 11 = 8712
Therefore, the value for common factors is 8712.
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 = 4873450494528/(1x8712)
LCM = 4873450494528/8712
LCM = 559395144
Thus, we can understand that the LCM of 198,198,749,902,184 is 559395144.
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FAQs on LCM of 198, 198, 749, 902, 184
1. What is the LCM of 198, 198, 749, 902, 184?
Answer: LCM of 198, 198, 749, 902, 184 is 559395144.
2. How to calculate the LCM of 198, 198, 749, 902, 184?
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, 198, 749, 902, 184.
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}.