LCM of 198, 704, 846, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 704, 846, 653 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, 704, 846, 653. So, keep reading to learn more.
Given numbers are 198,704,846,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,704,846,653 is 194458176.
Find LCM of 198,704,846,653 with Prime Factorization
| 2 | 198, 704, 846, 653 |
| 3 | 99, 352, 423, 653 |
| 3 | 33, 352, 141, 653 |
| 11 | 11, 352, 47, 653 |
| 1, 32, 47, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 1 x 32 x 47 x 653 = 194458176
Therefore, the lowest common multiple of 198,704,846,653 is 194458176.
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 704 x 846 x 653 = 77005437696
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,704,846,653, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
704:2x 2x 2x 2x 2x 2x 11
846:2x 3x 3x 47
653:653
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 11 = 396
Therefore, the value for common factors is 396.
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 = 77005437696/(1x396)
LCM = 77005437696/396
LCM = 194458176
Thus, we can understand that the LCM of 198,704,846,653 is 194458176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 704, 846, 653
1. What is the LCM of 198, 704, 846, 653?
Answer: LCM of 198, 704, 846, 653 is 194458176.
2. How to calculate the LCM of 198, 704, 846, 653?
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, 704, 846, 653.
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}.