LCM of 706, 533, 459, 435, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 533, 459, 435, 762 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 706, 533, 459, 435, 762. So, keep reading to learn more.
Given numbers are 706,533,459,435,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,533,459,435,762 is 3180653200530.
Find LCM of 706,533,459,435,762 with Prime Factorization
| 2 | 706, 533, 459, 435, 762 |
| 3 | 353, 533, 459, 435, 381 |
| 353, 533, 153, 145, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 353 x 533 x 153 x 145 x 127 = 3180653200530
Therefore, the lowest common multiple of 706,533,459,435,762 is 3180653200530.
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.
706 x 533 x 459 x 435 x 762 = 57251757609540
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.
706 : 1, 2, 353, 706
533 : 1, 13, 41, 533
459 : 1, 3, 9, 17, 27, 51, 153, 459
435 : 1, 3, 5, 15, 29, 87, 145, 435
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,533,459,435,762, is 1.
Now, the common factors can be found like this.
706:2x 353
533:13x 41
459:3x 3x 3x 17
435:3x 5x 29
762:2x 3x 127
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 3 = 18
Therefore, the value for common factors is 18.
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 = 57251757609540/(1x18)
LCM = 57251757609540/18
LCM = 3180653200530
Thus, we can understand that the LCM of 706,533,459,435,762 is 3180653200530.
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FAQs on LCM of 706, 533, 459, 435, 762
1. What is the LCM of 706, 533, 459, 435, 762?
Answer: LCM of 706, 533, 459, 435, 762 is 3180653200530.
2. How to calculate the LCM of 706, 533, 459, 435, 762?
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 706, 533, 459, 435, 762.
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}.