LCM of 753, 932, 466, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 932, 466, 915 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 753, 932, 466, 915. So, keep reading to learn more.
Given numbers are 753,932,466,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,932,466,915 is 214047780.
Find LCM of 753,932,466,915 with Prime Factorization
| 2 | 753, 932, 466, 915 |
| 3 | 753, 466, 233, 915 |
| 233 | 251, 466, 233, 305 |
| 251, 2, 1, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 251 x 2 x 1 x 305 = 214047780
Therefore, the lowest common multiple of 753,932,466,915 is 214047780.
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.
753 x 932 x 466 x 915 = 299238796440
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.
753 : 1, 3, 251, 753
932 : 1, 2, 4, 233, 466, 932
466 : 1, 2, 233, 466
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,932,466,915, is 1.
Now, the common factors can be found like this.
753:3x 251
932:2x 2x 233
466:2x 233
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 233 = 1398
Therefore, the value for common factors is 1398.
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 = 299238796440/(1x1398)
LCM = 299238796440/1398
LCM = 214047780
Thus, we can understand that the LCM of 753,932,466,915 is 214047780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 753, 932, 466, 915
1. What is the LCM of 753, 932, 466, 915?
Answer: LCM of 753, 932, 466, 915 is 214047780.
2. How to calculate the LCM of 753, 932, 466, 915?
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 753, 932, 466, 915.
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}.