LCM of 756, 824, 921, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 824, 921, 519 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, 824, 921, 519. So, keep reading to learn more.
Given numbers are 756,824,921,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,824,921,519 is 8271294696.
Find LCM of 756,824,921,519 with Prime Factorization
| 2 | 756, 824, 921, 519 |
| 2 | 378, 412, 921, 519 |
| 3 | 189, 206, 921, 519 |
| 63, 206, 307, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 63 x 206 x 307 x 173 = 8271294696
Therefore, the lowest common multiple of 756,824,921,519 is 8271294696.
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 824 x 921 x 519 = 297766609056
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
921 : 1, 3, 307, 921
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,824,921,519, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
824:2x 2x 2x 103
921:3x 307
519:3x 173
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 297766609056/(1x36)
LCM = 297766609056/36
LCM = 8271294696
Thus, we can understand that the LCM of 756,824,921,519 is 8271294696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 756, 824, 921, 519
1. What is the LCM of 756, 824, 921, 519?
Answer: LCM of 756, 824, 921, 519 is 8271294696.
2. How to calculate the LCM of 756, 824, 921, 519?
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, 824, 921, 519.
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}.