LCM of 962, 786, 156, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 786, 156, 403 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, 786, 156, 403. So, keep reading to learn more.
Given numbers are 962,786,156,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,786,156,403 is 23440092.
Find LCM of 962,786,156,403 with Prime Factorization
| 2 | 962, 786, 156, 403 |
| 3 | 481, 393, 78, 403 |
| 13 | 481, 131, 26, 403 |
| 37, 131, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 37 x 131 x 2 x 31 = 23440092
Therefore, the lowest common multiple of 962,786,156,403 is 23440092.
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 786 x 156 x 403 = 47536506576
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,786,156,403, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
786:2x 3x 131
156:2x 2x 3x 13
403:13x 31
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 13 = 2028
Therefore, the value for common factors is 2028.
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 = 47536506576/(1x2028)
LCM = 47536506576/2028
LCM = 23440092
Thus, we can understand that the LCM of 962,786,156,403 is 23440092.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 786, 156, 403
1. What is the LCM of 962, 786, 156, 403?
Answer: LCM of 962, 786, 156, 403 is 23440092.
2. How to calculate the LCM of 962, 786, 156, 403?
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, 786, 156, 403.
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}.