LCM of 956, 791, 892, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 956, 791, 892, 565 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 956, 791, 892, 565. So, keep reading to learn more.
Given numbers are 956,791,892,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,791,892,565 is 843158540.
Find LCM of 956,791,892,565 with Prime Factorization
| 2 | 956, 791, 892, 565 |
| 2 | 478, 791, 446, 565 |
| 113 | 239, 791, 223, 565 |
| 239, 7, 223, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 239 x 7 x 223 x 5 = 843158540
Therefore, the lowest common multiple of 956,791,892,565 is 843158540.
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.
956 x 791 x 892 x 565 = 381107660080
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.
956 : 1, 2, 4, 239, 478, 956
791 : 1, 7, 113, 791
892 : 1, 2, 4, 223, 446, 892
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,791,892,565, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
791:7x 113
892:2x 2x 223
565:5x 113
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 113 = 452
Therefore, the value for common factors is 452.
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 = 381107660080/(1x452)
LCM = 381107660080/452
LCM = 843158540
Thus, we can understand that the LCM of 956,791,892,565 is 843158540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 956, 791, 892, 565
1. What is the LCM of 956, 791, 892, 565?
Answer: LCM of 956, 791, 892, 565 is 843158540.
2. How to calculate the LCM of 956, 791, 892, 565?
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 956, 791, 892, 565.
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}.