LCM of 198, 781, 566, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 781, 566, 444 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, 781, 566, 444. So, keep reading to learn more.
Given numbers are 198,781,566,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,781,566,444 is 294402636.
Find LCM of 198,781,566,444 with Prime Factorization
| 2 | 198, 781, 566, 444 |
| 3 | 99, 781, 283, 222 |
| 11 | 33, 781, 283, 74 |
| 3, 71, 283, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 3 x 71 x 283 x 74 = 294402636
Therefore, the lowest common multiple of 198,781,566,444 is 294402636.
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 781 x 566 x 444 = 38861147952
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
781 : 1, 11, 71, 781
566 : 1, 2, 283, 566
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,781,566,444, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
781:11x 71
566:2x 283
444:2x 2x 3x 37
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 11 = 132
Therefore, the value for common factors is 132.
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 = 38861147952/(1x132)
LCM = 38861147952/132
LCM = 294402636
Thus, we can understand that the LCM of 198,781,566,444 is 294402636.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 781, 566, 444
1. What is the LCM of 198, 781, 566, 444?
Answer: LCM of 198, 781, 566, 444 is 294402636.
2. How to calculate the LCM of 198, 781, 566, 444?
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, 781, 566, 444.
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}.