LCM of 723, 656, 636, 515, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 656, 636, 515, 393 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 723, 656, 636, 515, 393. So, keep reading to learn more.
Given numbers are 723,656,636,515,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,656,636,515,393 is 1695885515760.
Find LCM of 723,656,636,515,393 with Prime Factorization
| 2 | 723, 656, 636, 515, 393 |
| 2 | 723, 328, 318, 515, 393 |
| 3 | 723, 164, 159, 515, 393 |
| 241, 164, 53, 515, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 164 x 53 x 515 x 131 = 1695885515760
Therefore, the lowest common multiple of 723,656,636,515,393 is 1695885515760.
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.
723 x 656 x 636 x 515 x 393 = 61051878567360
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.
723 : 1, 3, 241, 723
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
515 : 1, 5, 103, 515
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,656,636,515,393, is 1.
Now, the common factors can be found like this.
723:3x 241
656:2x 2x 2x 2x 41
636:2x 2x 3x 53
515:5x 103
393:3x 131
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 3 = 36
Therefore, the value for common factors is 36.
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 = 61051878567360/(1x36)
LCM = 61051878567360/36
LCM = 1695885515760
Thus, we can understand that the LCM of 723,656,636,515,393 is 1695885515760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 656, 636, 515, 393
1. What is the LCM of 723, 656, 636, 515, 393?
Answer: LCM of 723, 656, 636, 515, 393 is 1695885515760.
2. How to calculate the LCM of 723, 656, 636, 515, 393?
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 723, 656, 636, 515, 393.
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}.