LCM of 909, 852, 346, 792, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 852, 346, 792, 781 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 909, 852, 346, 792, 781. So, keep reading to learn more.
Given numbers are 909,852,346,792,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,852,346,792,781 is 982541736.
Find LCM of 909,852,346,792,781 with Prime Factorization
| 2 | 909, 852, 346, 792, 781 |
| 2 | 909, 426, 173, 396, 781 |
| 3 | 909, 213, 173, 198, 781 |
| 3 | 303, 71, 173, 66, 781 |
| 11 | 101, 71, 173, 22, 781 |
| 71 | 101, 71, 173, 2, 71 |
| 101, 1, 173, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 71 x 101 x 1 x 173 x 2 x 1 = 982541736
Therefore, the lowest common multiple of 909,852,346,792,781 is 982541736.
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.
909 x 852 x 346 x 792 x 781 = 165750860696256
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.
909 : 1, 3, 9, 101, 303, 909
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
346 : 1, 2, 173, 346
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,852,346,792,781, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
852:2x 2x 3x 71
346:2x 173
792:2x 2x 2x 3x 3x 11
781:11x 71
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 11x 71 = 168696
Therefore, the value for common factors is 168696.
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 = 165750860696256/(1x168696)
LCM = 165750860696256/168696
LCM = 982541736
Thus, we can understand that the LCM of 909,852,346,792,781 is 982541736.
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FAQs on LCM of 909, 852, 346, 792, 781
1. What is the LCM of 909, 852, 346, 792, 781?
Answer: LCM of 909, 852, 346, 792, 781 is 982541736.
2. How to calculate the LCM of 909, 852, 346, 792, 781?
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 909, 852, 346, 792, 781.
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}.