LCM of 941, 781, 359, 693, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 781, 359, 693, 792 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 941, 781, 359, 693, 792. So, keep reading to learn more.
Given numbers are 941,781,359,693,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,781,359,693,792 is 132973666056.
Find LCM of 941,781,359,693,792 with Prime Factorization
| 3 | 941, 781, 359, 693, 792 |
| 3 | 941, 781, 359, 231, 264 |
| 11 | 941, 781, 359, 77, 88 |
| 941, 71, 359, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 941 x 71 x 359 x 7 x 8 = 132973666056
Therefore, the lowest common multiple of 941,781,359,693,792 is 132973666056.
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.
941 x 781 x 359 x 693 x 792 = 144808322334984
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.
941 : 1, 941
781 : 1, 11, 71, 781
359 : 1, 359
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,781,359,693,792, is 1.
Now, the common factors can be found like this.
941:941
781:11x 71
359:359
693:3x 3x 7x 11
792:2x 2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 144808322334984/(1x1089)
LCM = 144808322334984/1089
LCM = 132973666056
Thus, we can understand that the LCM of 941,781,359,693,792 is 132973666056.
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FAQs on LCM of 941, 781, 359, 693, 792
1. What is the LCM of 941, 781, 359, 693, 792?
Answer: LCM of 941, 781, 359, 693, 792 is 132973666056.
2. How to calculate the LCM of 941, 781, 359, 693, 792?
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 941, 781, 359, 693, 792.
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}.