LCM of 733, 570, 409, 987, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 570, 409, 987, 908 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 733, 570, 409, 987, 908. So, keep reading to learn more.
Given numbers are 733,570,409,987,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,570,409,987,908 is 25524302860140.
Find LCM of 733,570,409,987,908 with Prime Factorization
| 2 | 733, 570, 409, 987, 908 |
| 3 | 733, 285, 409, 987, 454 |
| 733, 95, 409, 329, 454 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 733 x 95 x 409 x 329 x 454 = 25524302860140
Therefore, the lowest common multiple of 733,570,409,987,908 is 25524302860140.
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.
733 x 570 x 409 x 987 x 908 = 153145817160840
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.
733 : 1, 733
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
409 : 1, 409
987 : 1, 3, 7, 21, 47, 141, 329, 987
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,570,409,987,908, is 1.
Now, the common factors can be found like this.
733:733
570:2x 3x 5x 19
409:409
987:3x 7x 47
908:2x 2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 153145817160840/(1x6)
LCM = 153145817160840/6
LCM = 25524302860140
Thus, we can understand that the LCM of 733,570,409,987,908 is 25524302860140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 733, 570, 409, 987, 908
1. What is the LCM of 733, 570, 409, 987, 908?
Answer: LCM of 733, 570, 409, 987, 908 is 25524302860140.
2. How to calculate the LCM of 733, 570, 409, 987, 908?
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 733, 570, 409, 987, 908.
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}.