LCM of 463, 865, 173, 933, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 865, 173, 933, 942 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, 865, 173, 933, 942. So, keep reading to learn more.
Given numbers are 463,865,173,933,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,865,173,933,942 is 117329816190.
Find LCM of 463,865,173,933,942 with Prime Factorization
| 3 | 463, 865, 173, 933, 942 |
| 173 | 463, 865, 173, 311, 314 |
| 463, 5, 1, 311, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 173 x 463 x 5 x 1 x 311 x 314 = 117329816190
Therefore, the lowest common multiple of 463,865,173,933,942 is 117329816190.
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 865 x 173 x 933 x 942 = 60894174602610
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
865 : 1, 5, 173, 865
173 : 1, 173
933 : 1, 3, 311, 933
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,865,173,933,942, is 1.
Now, the common factors can be found like this.
463:463
865:5x 173
173:173
933:3x 311
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 173 = 519
Therefore, the value for common factors is 519.
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 = 60894174602610/(1x519)
LCM = 60894174602610/519
LCM = 117329816190
Thus, we can understand that the LCM of 463,865,173,933,942 is 117329816190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 865, 173, 933, 942
1. What is the LCM of 463, 865, 173, 933, 942?
Answer: LCM of 463, 865, 173, 933, 942 is 117329816190.
2. How to calculate the LCM of 463, 865, 173, 933, 942?
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, 865, 173, 933, 942.
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}.