LCM of 959, 715, 875, 902, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 715, 875, 902, 754 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 959, 715, 875, 902, 754. So, keep reading to learn more.
Given numbers are 959,715,875,902,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,715,875,902,754 is 40763973250.
Find LCM of 959,715,875,902,754 with Prime Factorization
| 2 | 959, 715, 875, 902, 754 |
| 5 | 959, 715, 875, 451, 377 |
| 7 | 959, 143, 175, 451, 377 |
| 11 | 137, 143, 25, 451, 377 |
| 13 | 137, 13, 25, 41, 377 |
| 137, 1, 25, 41, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 13 x 137 x 1 x 25 x 41 x 29 = 40763973250
Therefore, the lowest common multiple of 959,715,875,902,754 is 40763973250.
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.
959 x 715 x 875 x 902 x 754 = 408047372232500
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.
959 : 1, 7, 137, 959
715 : 1, 5, 11, 13, 55, 65, 143, 715
875 : 1, 5, 7, 25, 35, 125, 175, 875
902 : 1, 2, 11, 22, 41, 82, 451, 902
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,715,875,902,754, is 1.
Now, the common factors can be found like this.
959:7x 137
715:5x 11x 13
875:5x 5x 5x 7
902:2x 11x 41
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11x 13 = 10010
Therefore, the value for common factors is 10010.
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 = 408047372232500/(1x10010)
LCM = 408047372232500/10010
LCM = 40763973250
Thus, we can understand that the LCM of 959,715,875,902,754 is 40763973250.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 959, 715, 875, 902, 754
1. What is the LCM of 959, 715, 875, 902, 754?
Answer: LCM of 959, 715, 875, 902, 754 is 40763973250.
2. How to calculate the LCM of 959, 715, 875, 902, 754?
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 959, 715, 875, 902, 754.
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}.