LCM of 636, 497, 343, 588, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 497, 343, 588, 710 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 636, 497, 343, 588, 710. So, keep reading to learn more.
Given numbers are 636,497,343,588,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,497,343,588,710 is 77442540.
Find LCM of 636,497,343,588,710 with Prime Factorization
| 2 | 636, 497, 343, 588, 710 |
| 2 | 318, 497, 343, 294, 355 |
| 3 | 159, 497, 343, 147, 355 |
| 7 | 53, 497, 343, 49, 355 |
| 7 | 53, 71, 7, 49, 355 |
| 71 | 53, 71, 1, 7, 355 |
| 53, 1, 1, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 71 x 53 x 1 x 1 x 7 x 5 = 77442540
Therefore, the lowest common multiple of 636,497,343,588,710 is 77442540.
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.
636 x 497 x 343 x 588 x 710 = 45262996238880
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
497 : 1, 7, 71, 497
343 : 1, 7, 49, 343
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,497,343,588,710, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
497:7x 71
343:7x 7x 7
588:2x 2x 3x 7x 7
710:2x 5x 71
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 3x 7x 7x 7x 71 = 584472
Therefore, the value for common factors is 584472.
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 = 45262996238880/(1x584472)
LCM = 45262996238880/584472
LCM = 77442540
Thus, we can understand that the LCM of 636,497,343,588,710 is 77442540.
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FAQs on LCM of 636, 497, 343, 588, 710
1. What is the LCM of 636, 497, 343, 588, 710?
Answer: LCM of 636, 497, 343, 588, 710 is 77442540.
2. How to calculate the LCM of 636, 497, 343, 588, 710?
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 636, 497, 343, 588, 710.
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}.