LCM of 833, 978, 403, 732, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 833, 978, 403, 732, 952 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 833, 978, 403, 732, 952. So, keep reading to learn more.
Given numbers are 833,978,403,732,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,978,403,732,952 is 80108523768.
Find LCM of 833,978,403,732,952 with Prime Factorization
| 2 | 833, 978, 403, 732, 952 |
| 2 | 833, 489, 403, 366, 476 |
| 3 | 833, 489, 403, 183, 238 |
| 7 | 833, 163, 403, 61, 238 |
| 17 | 119, 163, 403, 61, 34 |
| 7, 163, 403, 61, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 7 x 163 x 403 x 61 x 2 = 80108523768
Therefore, the lowest common multiple of 833,978,403,732,952 is 80108523768.
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.
833 x 978 x 403 x 732 x 952 = 228789943881408
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.
833 : 1, 7, 17, 49, 119, 833
978 : 1, 2, 3, 6, 163, 326, 489, 978
403 : 1, 13, 31, 403
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,978,403,732,952, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
978:2x 3x 163
403:13x 31
732:2x 2x 3x 61
952:2x 2x 2x 7x 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 3x 7x 17 = 2856
Therefore, the value for common factors is 2856.
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 = 228789943881408/(1x2856)
LCM = 228789943881408/2856
LCM = 80108523768
Thus, we can understand that the LCM of 833,978,403,732,952 is 80108523768.
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FAQs on LCM of 833, 978, 403, 732, 952
1. What is the LCM of 833, 978, 403, 732, 952?
Answer: LCM of 833, 978, 403, 732, 952 is 80108523768.
2. How to calculate the LCM of 833, 978, 403, 732, 952?
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 833, 978, 403, 732, 952.
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}.