LCM of 492, 410, 909, 595, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 410, 909, 595, 654 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 492, 410, 909, 595, 654. So, keep reading to learn more.
Given numbers are 492,410,909,595,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,410,909,595,654 is 9668323980.
Find LCM of 492,410,909,595,654 with Prime Factorization
| 2 | 492, 410, 909, 595, 654 |
| 3 | 246, 205, 909, 595, 327 |
| 5 | 82, 205, 303, 595, 109 |
| 41 | 82, 41, 303, 119, 109 |
| 2, 1, 303, 119, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 2 x 1 x 303 x 119 x 109 = 9668323980
Therefore, the lowest common multiple of 492,410,909,595,654 is 9668323980.
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.
492 x 410 x 909 x 595 x 654 = 71352230972400
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
410 : 1, 2, 5, 10, 41, 82, 205, 410
909 : 1, 3, 9, 101, 303, 909
595 : 1, 5, 7, 17, 35, 85, 119, 595
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,410,909,595,654, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
410:2x 5x 41
909:3x 3x 101
595:5x 7x 17
654:2x 3x 109
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 5x 41 = 7380
Therefore, the value for common factors is 7380.
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 = 71352230972400/(1x7380)
LCM = 71352230972400/7380
LCM = 9668323980
Thus, we can understand that the LCM of 492,410,909,595,654 is 9668323980.
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FAQs on LCM of 492, 410, 909, 595, 654
1. What is the LCM of 492, 410, 909, 595, 654?
Answer: LCM of 492, 410, 909, 595, 654 is 9668323980.
2. How to calculate the LCM of 492, 410, 909, 595, 654?
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 492, 410, 909, 595, 654.
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}.