LCM of 463, 563, 352, 589, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 563, 352, 589, 272 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 463, 563, 352, 589, 272. So, keep reading to learn more.
Given numbers are 463,563,352,589,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,563,352,589,272 is 918747701344.
Find LCM of 463,563,352,589,272 with Prime Factorization
| 2 | 463, 563, 352, 589, 272 |
| 2 | 463, 563, 176, 589, 136 |
| 2 | 463, 563, 88, 589, 68 |
| 2 | 463, 563, 44, 589, 34 |
| 463, 563, 22, 589, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 463 x 563 x 22 x 589 x 17 = 918747701344
Therefore, the lowest common multiple of 463,563,352,589,272 is 918747701344.
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.
463 x 563 x 352 x 589 x 272 = 14699963221504
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.
463 : 1, 463
563 : 1, 563
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
589 : 1, 19, 31, 589
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,563,352,589,272, is 1.
Now, the common factors can be found like this.
463:463
563:563
352:2x 2x 2x 2x 2x 11
589:19x 31
272:2x 2x 2x 2x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 14699963221504/(1x16)
LCM = 14699963221504/16
LCM = 918747701344
Thus, we can understand that the LCM of 463,563,352,589,272 is 918747701344.
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FAQs on LCM of 463, 563, 352, 589, 272
1. What is the LCM of 463, 563, 352, 589, 272?
Answer: LCM of 463, 563, 352, 589, 272 is 918747701344.
2. How to calculate the LCM of 463, 563, 352, 589, 272?
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 463, 563, 352, 589, 272.
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}.