LCM of 584, 842, 964, 121, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 842, 964, 121, 770 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 584, 842, 964, 121, 770. So, keep reading to learn more.
Given numbers are 584,842,964,121,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,842,964,121,770 is 250937403640.
Find LCM of 584,842,964,121,770 with Prime Factorization
| 2 | 584, 842, 964, 121, 770 |
| 2 | 292, 421, 482, 121, 385 |
| 11 | 146, 421, 241, 121, 385 |
| 146, 421, 241, 11, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 146 x 421 x 241 x 11 x 35 = 250937403640
Therefore, the lowest common multiple of 584,842,964,121,770 is 250937403640.
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.
584 x 842 x 964 x 121 x 770 = 44164983040640
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
842 : 1, 2, 421, 842
964 : 1, 2, 4, 241, 482, 964
121 : 1, 11, 121
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,842,964,121,770, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
842:2x 421
964:2x 2x 241
121:11x 11
770:2x 5x 7x 11
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 44164983040640/(1x176)
LCM = 44164983040640/176
LCM = 250937403640
Thus, we can understand that the LCM of 584,842,964,121,770 is 250937403640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 584, 842, 964, 121, 770
1. What is the LCM of 584, 842, 964, 121, 770?
Answer: LCM of 584, 842, 964, 121, 770 is 250937403640.
2. How to calculate the LCM of 584, 842, 964, 121, 770?
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 584, 842, 964, 121, 770.
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}.