LCM of 402, 800, 962, 786, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 800, 962, 786, 416 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 402, 800, 962, 786, 416. So, keep reading to learn more.
Given numbers are 402,800,962,786,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,800,962,786,416 is 10132168800.
Find LCM of 402,800,962,786,416 with Prime Factorization
| 2 | 402, 800, 962, 786, 416 |
| 2 | 201, 400, 481, 393, 208 |
| 2 | 201, 200, 481, 393, 104 |
| 2 | 201, 100, 481, 393, 52 |
| 2 | 201, 50, 481, 393, 26 |
| 3 | 201, 25, 481, 393, 13 |
| 13 | 67, 25, 481, 131, 13 |
| 67, 25, 37, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 13 x 67 x 25 x 37 x 131 x 1 = 10132168800
Therefore, the lowest common multiple of 402,800,962,786,416 is 10132168800.
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.
402 x 800 x 962 x 786 x 416 = 101159573299200
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
962 : 1, 2, 13, 26, 37, 74, 481, 962
786 : 1, 2, 3, 6, 131, 262, 393, 786
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,800,962,786,416, is 2.
Now, the common factors can be found like this.
402:2x 3x 67
800:2x 2x 2x 2x 2x 5x 5
962:2x 13x 37
786:2x 3x 131
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 3x 13 = 4992
Therefore, the value for common factors is 4992.
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 = 101159573299200/(2x4992)
LCM = 101159573299200/9984
LCM = 10132168800
Thus, we can understand that the LCM of 402,800,962,786,416 is 10132168800.
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FAQs on LCM of 402, 800, 962, 786, 416
1. What is the LCM of 402, 800, 962, 786, 416?
Answer: LCM of 402, 800, 962, 786, 416 is 10132168800.
2. How to calculate the LCM of 402, 800, 962, 786, 416?
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 402, 800, 962, 786, 416.
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}.