LCM of 792, 316, 961, 946, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 316, 961, 946, 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 792, 316, 961, 946, 578. So, keep reading to learn more.
Given numbers are 792,316,961,946,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,316,961,946,578 is 747208767096.
Find LCM of 792,316,961,946,578 with Prime Factorization
| 2 | 792, 316, 961, 946, 578 |
| 2 | 396, 158, 961, 473, 289 |
| 11 | 198, 79, 961, 473, 289 |
| 18, 79, 961, 43, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 18 x 79 x 961 x 43 x 289 = 747208767096
Therefore, the lowest common multiple of 792,316,961,946,578 is 747208767096.
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.
792 x 316 x 961 x 946 x 578 = 131508743008896
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
316 : 1, 2, 4, 79, 158, 316
961 : 1, 31, 961
946 : 1, 2, 11, 22, 43, 86, 473, 946
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 792,316,961,946,578, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
316:2x 2x 79
961:31x 31
946:2x 11x 43
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 131508743008896/(1x176)
LCM = 131508743008896/176
LCM = 747208767096
Thus, we can understand that the LCM of 792,316,961,946,578 is 747208767096.
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FAQs on LCM of 792, 316, 961, 946, 578
1. What is the LCM of 792, 316, 961, 946, 578?
Answer: LCM of 792, 316, 961, 946, 578 is 747208767096.
2. How to calculate the LCM of 792, 316, 961, 946, 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 792, 316, 961, 946, 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}.