LCM of 932, 535, 608, 263, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 535, 608, 263, 456 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, 535, 608, 263, 456. So, keep reading to learn more.
Given numbers are 932,535,608,263,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,535,608,263,456 is 59798499360.
Find LCM of 932,535,608,263,456 with Prime Factorization
| 2 | 932, 535, 608, 263, 456 |
| 2 | 466, 535, 304, 263, 228 |
| 2 | 233, 535, 152, 263, 114 |
| 19 | 233, 535, 76, 263, 57 |
| 233, 535, 4, 263, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 233 x 535 x 4 x 263 x 3 = 59798499360
Therefore, the lowest common multiple of 932,535,608,263,456 is 59798499360.
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 535 x 608 x 263 x 456 = 36357487610880
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
535 : 1, 5, 107, 535
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
263 : 1, 263
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,535,608,263,456, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
535:5x 107
608:2x 2x 2x 2x 2x 19
263:263
456:2x 2x 2x 3x 19
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 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 36357487610880/(1x608)
LCM = 36357487610880/608
LCM = 59798499360
Thus, we can understand that the LCM of 932,535,608,263,456 is 59798499360.
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FAQs on LCM of 932, 535, 608, 263, 456
1. What is the LCM of 932, 535, 608, 263, 456?
Answer: LCM of 932, 535, 608, 263, 456 is 59798499360.
2. How to calculate the LCM of 932, 535, 608, 263, 456?
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, 535, 608, 263, 456.
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}.