LCM of 728, 658, 282, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 658, 282, 521 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 728, 658, 282, 521. So, keep reading to learn more.
Given numbers are 728,658,282,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,658,282,521 is 53479608.
Find LCM of 728,658,282,521 with Prime Factorization
| 2 | 728, 658, 282, 521 |
| 7 | 364, 329, 141, 521 |
| 47 | 52, 47, 141, 521 |
| 52, 1, 3, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 52 x 1 x 3 x 521 = 53479608
Therefore, the lowest common multiple of 728,658,282,521 is 53479608.
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.
728 x 658 x 282 x 521 = 70379164128
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
658 : 1, 2, 7, 14, 47, 94, 329, 658
282 : 1, 2, 3, 6, 47, 94, 141, 282
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,658,282,521, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
658:2x 7x 47
282:2x 3x 47
521:521
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 7x 47 = 1316
Therefore, the value for common factors is 1316.
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 = 70379164128/(1x1316)
LCM = 70379164128/1316
LCM = 53479608
Thus, we can understand that the LCM of 728,658,282,521 is 53479608.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 728, 658, 282, 521
1. What is the LCM of 728, 658, 282, 521?
Answer: LCM of 728, 658, 282, 521 is 53479608.
2. How to calculate the LCM of 728, 658, 282, 521?
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 728, 658, 282, 521.
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}.