LCM of 786, 693, 407, 357, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 693, 407, 357, 700 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 786, 693, 407, 357, 700. So, keep reading to learn more.
Given numbers are 786,693,407,357,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,693,407,357,700 is 5710250700.
Find LCM of 786,693,407,357,700 with Prime Factorization
| 2 | 786, 693, 407, 357, 700 |
| 3 | 393, 693, 407, 357, 350 |
| 7 | 131, 231, 407, 119, 350 |
| 11 | 131, 33, 407, 17, 50 |
| 131, 3, 37, 17, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 131 x 3 x 37 x 17 x 50 = 5710250700
Therefore, the lowest common multiple of 786,693,407,357,700 is 5710250700.
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.
786 x 693 x 407 x 357 x 700 = 55400852291400
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
407 : 1, 11, 37, 407
357 : 1, 3, 7, 17, 21, 51, 119, 357
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,693,407,357,700, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
693:3x 3x 7x 11
407:11x 37
357:3x 7x 17
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7x 11 = 9702
Therefore, the value for common factors is 9702.
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 = 55400852291400/(1x9702)
LCM = 55400852291400/9702
LCM = 5710250700
Thus, we can understand that the LCM of 786,693,407,357,700 is 5710250700.
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FAQs on LCM of 786, 693, 407, 357, 700
1. What is the LCM of 786, 693, 407, 357, 700?
Answer: LCM of 786, 693, 407, 357, 700 is 5710250700.
2. How to calculate the LCM of 786, 693, 407, 357, 700?
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 786, 693, 407, 357, 700.
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}.