LCM of 198, 121, 678, 565, 541
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 121, 678, 565, 541 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, 121, 678, 565, 541. So, keep reading to learn more.
Given numbers are 198,121,678,565,541
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,121,678,565,541 is 665738370.
Find LCM of 198,121,678,565,541 with Prime Factorization
| 2 | 198, 121, 678, 565, 541 |
| 3 | 99, 121, 339, 565, 541 |
| 11 | 33, 121, 113, 565, 541 |
| 113 | 3, 11, 113, 565, 541 |
| 3, 11, 1, 5, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 113 x 3 x 11 x 1 x 5 x 541 = 665738370
Therefore, the lowest common multiple of 198,121,678,565,541 is 665738370.
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 121 x 678 x 565 x 541 = 4965076763460
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
121 : 1, 11, 121
678 : 1, 2, 3, 6, 113, 226, 339, 678
565 : 1, 5, 113, 565
541 : 1, 541
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,121,678,565,541, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
121:11x 11
678:2x 3x 113
565:5x 113
541:541
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 113 = 7458
Therefore, the value for common factors is 7458.
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 = 4965076763460/(1x7458)
LCM = 4965076763460/7458
LCM = 665738370
Thus, we can understand that the LCM of 198,121,678,565,541 is 665738370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 121, 678, 565, 541
1. What is the LCM of 198, 121, 678, 565, 541?
Answer: LCM of 198, 121, 678, 565, 541 is 665738370.
2. How to calculate the LCM of 198, 121, 678, 565, 541?
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, 121, 678, 565, 541.
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}.