LCM of 962, 159, 850, 901, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 159, 850, 901, 970 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, 159, 850, 901, 970. So, keep reading to learn more.
Given numbers are 962,159,850,901,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,159,850,901,970 is 6305693550.
Find LCM of 962,159,850,901,970 with Prime Factorization
| 2 | 962, 159, 850, 901, 970 |
| 5 | 481, 159, 425, 901, 485 |
| 17 | 481, 159, 85, 901, 97 |
| 53 | 481, 159, 5, 53, 97 |
| 481, 3, 5, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 53 x 481 x 3 x 5 x 1 x 97 = 6305693550
Therefore, the lowest common multiple of 962,159,850,901,970 is 6305693550.
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 159 x 850 x 901 x 970 = 113628597771000
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
159 : 1, 3, 53, 159
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
901 : 1, 17, 53, 901
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,159,850,901,970, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
159:3x 53
850:2x 5x 5x 17
901:17x 53
970:2x 5x 97
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 5x 17x 53 = 18020
Therefore, the value for common factors is 18020.
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 = 113628597771000/(1x18020)
LCM = 113628597771000/18020
LCM = 6305693550
Thus, we can understand that the LCM of 962,159,850,901,970 is 6305693550.
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FAQs on LCM of 962, 159, 850, 901, 970
1. What is the LCM of 962, 159, 850, 901, 970?
Answer: LCM of 962, 159, 850, 901, 970 is 6305693550.
2. How to calculate the LCM of 962, 159, 850, 901, 970?
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, 159, 850, 901, 970.
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}.