LCM of 756, 976, 893, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 976, 893, 399 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, 976, 893, 399. So, keep reading to learn more.
Given numbers are 756,976,893,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,976,893,399 is 164726352.
Find LCM of 756,976,893,399 with Prime Factorization
| 2 | 756, 976, 893, 399 |
| 2 | 378, 488, 893, 399 |
| 3 | 189, 244, 893, 399 |
| 7 | 63, 244, 893, 133 |
| 19 | 9, 244, 893, 19 |
| 9, 244, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 9 x 244 x 47 x 1 = 164726352
Therefore, the lowest common multiple of 756,976,893,399 is 164726352.
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 976 x 893 x 399 = 262903257792
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
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
893 : 1, 19, 47, 893
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,976,893,399, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
976:2x 2x 2x 2x 61
893:19x 47
399:3x 7x 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 3x 7x 19 = 1596
Therefore, the value for common factors is 1596.
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 = 262903257792/(1x1596)
LCM = 262903257792/1596
LCM = 164726352
Thus, we can understand that the LCM of 756,976,893,399 is 164726352.
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FAQs on LCM of 756, 976, 893, 399
1. What is the LCM of 756, 976, 893, 399?
Answer: LCM of 756, 976, 893, 399 is 164726352.
2. How to calculate the LCM of 756, 976, 893, 399?
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, 976, 893, 399.
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}.