LCM of 587, 578, 968, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 578, 968, 121 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 587, 578, 968, 121. So, keep reading to learn more.
Given numbers are 587,578,968,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,578,968,121 is 164214424.
Find LCM of 587,578,968,121 with Prime Factorization
| 2 | 587, 578, 968, 121 |
| 11 | 587, 289, 484, 121 |
| 11 | 587, 289, 44, 11 |
| 587, 289, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 587 x 289 x 4 x 1 = 164214424
Therefore, the lowest common multiple of 587,578,968,121 is 164214424.
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.
587 x 578 x 968 x 121 = 39739890608
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.
587 : 1, 587
578 : 1, 2, 17, 34, 289, 578
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,578,968,121, is 1.
Now, the common factors can be found like this.
587:587
578:2x 17x 17
968:2x 2x 2x 11x 11
121:11x 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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 39739890608/(1x242)
LCM = 39739890608/242
LCM = 164214424
Thus, we can understand that the LCM of 587,578,968,121 is 164214424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 587, 578, 968, 121
1. What is the LCM of 587, 578, 968, 121?
Answer: LCM of 587, 578, 968, 121 is 164214424.
2. How to calculate the LCM of 587, 578, 968, 121?
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 587, 578, 968, 121.
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}.