LCM of 962, 806, 942, 261, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 806, 942, 261, 550 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 962, 806, 942, 261, 550. So, keep reading to learn more.
Given numbers are 962,806,942,261,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,806,942,261,550 is 336054425850.
Find LCM of 962,806,942,261,550 with Prime Factorization
| 2 | 962, 806, 942, 261, 550 |
| 3 | 481, 403, 471, 261, 275 |
| 13 | 481, 403, 157, 87, 275 |
| 37, 31, 157, 87, 275 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 37 x 31 x 157 x 87 x 275 = 336054425850
Therefore, the lowest common multiple of 962,806,942,261,550 is 336054425850.
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.
962 x 806 x 942 x 261 x 550 = 104848980865200
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
806 : 1, 2, 13, 26, 31, 62, 403, 806
942 : 1, 2, 3, 6, 157, 314, 471, 942
261 : 1, 3, 9, 29, 87, 261
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,806,942,261,550, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
806:2x 13x 31
942:2x 3x 157
261:3x 3x 29
550:2x 5x 5x 11
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 13 = 312
Therefore, the value for common factors is 312.
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 = 104848980865200/(1x312)
LCM = 104848980865200/312
LCM = 336054425850
Thus, we can understand that the LCM of 962,806,942,261,550 is 336054425850.
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FAQs on LCM of 962, 806, 942, 261, 550
1. What is the LCM of 962, 806, 942, 261, 550?
Answer: LCM of 962, 806, 942, 261, 550 is 336054425850.
2. How to calculate the LCM of 962, 806, 942, 261, 550?
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 962, 806, 942, 261, 550.
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}.