LCM of 756, 322, 504, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 322, 504, 921 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 756, 322, 504, 921. So, keep reading to learn more.
Given numbers are 756,322,504,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,322,504,921 is 10676232.
Find LCM of 756,322,504,921 with Prime Factorization
| 2 | 756, 322, 504, 921 |
| 2 | 378, 161, 252, 921 |
| 3 | 189, 161, 126, 921 |
| 3 | 63, 161, 42, 307 |
| 7 | 21, 161, 14, 307 |
| 3, 23, 2, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 3 x 23 x 2 x 307 = 10676232
Therefore, the lowest common multiple of 756,322,504,921 is 10676232.
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.
756 x 322 x 504 x 921 = 112997239488
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
322 : 1, 2, 7, 14, 23, 46, 161, 322
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,322,504,921, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
322:2x 7x 23
504:2x 2x 2x 3x 3x 7
921:3x 307
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 3x 3x 3x 7x 7 = 10584
Therefore, the value for common factors is 10584.
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 = 112997239488/(1x10584)
LCM = 112997239488/10584
LCM = 10676232
Thus, we can understand that the LCM of 756,322,504,921 is 10676232.
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FAQs on LCM of 756, 322, 504, 921
1. What is the LCM of 756, 322, 504, 921?
Answer: LCM of 756, 322, 504, 921 is 10676232.
2. How to calculate the LCM of 756, 322, 504, 921?
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 756, 322, 504, 921.
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}.