LCM of 962, 334, 861, 156, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 334, 861, 156, 943 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, 334, 861, 156, 943. So, keep reading to learn more.
Given numbers are 962,334,861,156,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,334,861,156,943 is 6362862324.
Find LCM of 962,334,861,156,943 with Prime Factorization
| 2 | 962, 334, 861, 156, 943 |
| 3 | 481, 167, 861, 78, 943 |
| 13 | 481, 167, 287, 26, 943 |
| 41 | 37, 167, 287, 2, 943 |
| 37, 167, 7, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 41 x 37 x 167 x 7 x 2 x 23 = 6362862324
Therefore, the lowest common multiple of 962,334,861,156,943 is 6362862324.
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 334 x 861 x 156 x 943 = 40696867424304
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
334 : 1, 2, 167, 334
861 : 1, 3, 7, 21, 41, 123, 287, 861
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,334,861,156,943, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
334:2x 167
861:3x 7x 41
156:2x 2x 3x 13
943:23x 41
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 13x 41 = 6396
Therefore, the value for common factors is 6396.
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 = 40696867424304/(1x6396)
LCM = 40696867424304/6396
LCM = 6362862324
Thus, we can understand that the LCM of 962,334,861,156,943 is 6362862324.
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FAQs on LCM of 962, 334, 861, 156, 943
1. What is the LCM of 962, 334, 861, 156, 943?
Answer: LCM of 962, 334, 861, 156, 943 is 6362862324.
2. How to calculate the LCM of 962, 334, 861, 156, 943?
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, 334, 861, 156, 943.
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}.