LCM of 932, 989, 409, 460, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 989, 409, 460, 748 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 932, 989, 409, 460, 748. So, keep reading to learn more.
Given numbers are 932,989,409,460,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,989,409,460,748 is 352490261420.
Find LCM of 932,989,409,460,748 with Prime Factorization
| 2 | 932, 989, 409, 460, 748 |
| 2 | 466, 989, 409, 230, 374 |
| 23 | 233, 989, 409, 115, 187 |
| 233, 43, 409, 5, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 233 x 43 x 409 x 5 x 187 = 352490261420
Therefore, the lowest common multiple of 932,989,409,460,748 is 352490261420.
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.
932 x 989 x 409 x 460 x 748 = 129716416202560
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.
932 : 1, 2, 4, 233, 466, 932
989 : 1, 23, 43, 989
409 : 1, 409
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,989,409,460,748, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
989:23x 43
409:409
460:2x 2x 5x 23
748:2x 2x 11x 17
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 2x 23 = 368
Therefore, the value for common factors is 368.
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 = 129716416202560/(1x368)
LCM = 129716416202560/368
LCM = 352490261420
Thus, we can understand that the LCM of 932,989,409,460,748 is 352490261420.
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FAQs on LCM of 932, 989, 409, 460, 748
1. What is the LCM of 932, 989, 409, 460, 748?
Answer: LCM of 932, 989, 409, 460, 748 is 352490261420.
2. How to calculate the LCM of 932, 989, 409, 460, 748?
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 932, 989, 409, 460, 748.
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}.