LCM of 978, 198, 690, 240, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 198, 690, 240, 561 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 978, 198, 690, 240, 561. So, keep reading to learn more.
Given numbers are 978,198,690,240,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,198,690,240,561 is 504765360.
Find LCM of 978,198,690,240,561 with Prime Factorization
| 2 | 978, 198, 690, 240, 561 |
| 3 | 489, 99, 345, 120, 561 |
| 5 | 163, 33, 115, 40, 187 |
| 11 | 163, 33, 23, 8, 187 |
| 163, 3, 23, 8, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 163 x 3 x 23 x 8 x 17 = 504765360
Therefore, the lowest common multiple of 978,198,690,240,561 is 504765360.
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.
978 x 198 x 690 x 240 x 561 = 17989837430400
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
561 : 1, 3, 11, 17, 33, 51, 187, 561
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,198,690,240,561, is 3.
Now, the common factors can be found like this.
978:2x 3x 163
198:2x 3x 3x 11
690:2x 3x 5x 23
240:2x 2x 2x 2x 3x 5
561:3x 11x 17
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 3x 5x 11 = 11880
Therefore, the value for common factors is 11880.
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 = 17989837430400/(3x11880)
LCM = 17989837430400/35640
LCM = 504765360
Thus, we can understand that the LCM of 978,198,690,240,561 is 504765360.
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FAQs on LCM of 978, 198, 690, 240, 561
1. What is the LCM of 978, 198, 690, 240, 561?
Answer: LCM of 978, 198, 690, 240, 561 is 504765360.
2. How to calculate the LCM of 978, 198, 690, 240, 561?
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 978, 198, 690, 240, 561.
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}.