LCM of 470, 384, 141, 961, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 384, 141, 961, 403 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, 384, 141, 961, 403. So, keep reading to learn more.
Given numbers are 470,384,141,961,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,384,141,961,403 is 1127368320.
Find LCM of 470,384,141,961,403 with Prime Factorization
| 2 | 470, 384, 141, 961, 403 |
| 3 | 235, 192, 141, 961, 403 |
| 31 | 235, 64, 47, 961, 403 |
| 47 | 235, 64, 47, 31, 13 |
| 5, 64, 1, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 47 x 5 x 64 x 1 x 31 x 13 = 1127368320
Therefore, the lowest common multiple of 470,384,141,961,403 is 1127368320.
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 384 x 141 x 961 x 403 = 9855453853440
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
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
141 : 1, 3, 47, 141
961 : 1, 31, 961
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,384,141,961,403, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
384:2x 2x 2x 2x 2x 2x 2x 3
141:3x 47
961:31x 31
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31x 47 = 8742
Therefore, the value for common factors is 8742.
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 = 9855453853440/(1x8742)
LCM = 9855453853440/8742
LCM = 1127368320
Thus, we can understand that the LCM of 470,384,141,961,403 is 1127368320.
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FAQs on LCM of 470, 384, 141, 961, 403
1. What is the LCM of 470, 384, 141, 961, 403?
Answer: LCM of 470, 384, 141, 961, 403 is 1127368320.
2. How to calculate the LCM of 470, 384, 141, 961, 403?
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, 384, 141, 961, 403.
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}.