LCM of 962, 638, 696, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 638, 696, 657 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, 638, 696, 657. So, keep reading to learn more.
Given numbers are 962,638,696,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,638,696,657 is 806475384.
Find LCM of 962,638,696,657 with Prime Factorization
| 2 | 962, 638, 696, 657 |
| 3 | 481, 319, 348, 657 |
| 29 | 481, 319, 116, 219 |
| 481, 11, 4, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 481 x 11 x 4 x 219 = 806475384
Therefore, the lowest common multiple of 962,638,696,657 is 806475384.
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 638 x 696 x 657 = 280653433632
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,638,696,657, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
638:2x 11x 29
696:2x 2x 2x 3x 29
657:3x 3x 73
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 29 = 348
Therefore, the value for common factors is 348.
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 = 280653433632/(1x348)
LCM = 280653433632/348
LCM = 806475384
Thus, we can understand that the LCM of 962,638,696,657 is 806475384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 638, 696, 657
1. What is the LCM of 962, 638, 696, 657?
Answer: LCM of 962, 638, 696, 657 is 806475384.
2. How to calculate the LCM of 962, 638, 696, 657?
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, 638, 696, 657.
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}.