LCM of 653, 968, 582, 572, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 968, 582, 572, 241 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 653, 968, 582, 572, 241. So, keep reading to learn more.
Given numbers are 653,968,582,572,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,968,582,572,241 is 576291113112.
Find LCM of 653,968,582,572,241 with Prime Factorization
| 2 | 653, 968, 582, 572, 241 |
| 2 | 653, 484, 291, 286, 241 |
| 11 | 653, 242, 291, 143, 241 |
| 653, 22, 291, 13, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 653 x 22 x 291 x 13 x 241 = 576291113112
Therefore, the lowest common multiple of 653,968,582,572,241 is 576291113112.
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.
653 x 968 x 582 x 572 x 241 = 50713617953856
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.
653 : 1, 653
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
582 : 1, 2, 3, 6, 97, 194, 291, 582
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,968,582,572,241, is 1.
Now, the common factors can be found like this.
653:653
968:2x 2x 2x 11x 11
582:2x 3x 97
572:2x 2x 11x 13
241:241
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 11 = 88
Therefore, the value for common factors is 88.
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 = 50713617953856/(1x88)
LCM = 50713617953856/88
LCM = 576291113112
Thus, we can understand that the LCM of 653,968,582,572,241 is 576291113112.
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FAQs on LCM of 653, 968, 582, 572, 241
1. What is the LCM of 653, 968, 582, 572, 241?
Answer: LCM of 653, 968, 582, 572, 241 is 576291113112.
2. How to calculate the LCM of 653, 968, 582, 572, 241?
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 653, 968, 582, 572, 241.
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}.