LCM of 470, 418, 242, 869, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 418, 242, 869, 578 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 470, 418, 242, 869, 578. So, keep reading to learn more.
Given numbers are 470,418,242,869,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,418,242,869,578 is 24669580430.
Find LCM of 470,418,242,869,578 with Prime Factorization
| 2 | 470, 418, 242, 869, 578 |
| 11 | 235, 209, 121, 869, 289 |
| 235, 19, 11, 79, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 235 x 19 x 11 x 79 x 289 = 24669580430
Therefore, the lowest common multiple of 470,418,242,869,578 is 24669580430.
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.
470 x 418 x 242 x 869 x 578 = 23880153856240
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
418 : 1, 2, 11, 19, 22, 38, 209, 418
242 : 1, 2, 11, 22, 121, 242
869 : 1, 11, 79, 869
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,418,242,869,578, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
418:2x 11x 19
242:2x 11x 11
869:11x 79
578:2x 17x 17
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 23880153856240/(1x968)
LCM = 23880153856240/968
LCM = 24669580430
Thus, we can understand that the LCM of 470,418,242,869,578 is 24669580430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 470, 418, 242, 869, 578
1. What is the LCM of 470, 418, 242, 869, 578?
Answer: LCM of 470, 418, 242, 869, 578 is 24669580430.
2. How to calculate the LCM of 470, 418, 242, 869, 578?
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 470, 418, 242, 869, 578.
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}.