LCM of 792, 970, 142, 489, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 970, 142, 489, 426 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, 970, 142, 489, 426. So, keep reading to learn more.
Given numbers are 792,970,142,489,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,970,142,489,426 is 4445420760.
Find LCM of 792,970,142,489,426 with Prime Factorization
| 2 | 792, 970, 142, 489, 426 |
| 3 | 396, 485, 71, 489, 213 |
| 71 | 132, 485, 71, 163, 71 |
| 132, 485, 1, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 132 x 485 x 1 x 163 x 1 = 4445420760
Therefore, the lowest common multiple of 792,970,142,489,426 is 4445420760.
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 970 x 142 x 489 x 426 = 22724990925120
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
970 : 1, 2, 5, 10, 97, 194, 485, 970
142 : 1, 2, 71, 142
489 : 1, 3, 163, 489
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,970,142,489,426, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
970:2x 5x 97
142:2x 71
489:3x 163
426:2x 3x 71
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 3x 71 = 5112
Therefore, the value for common factors is 5112.
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 = 22724990925120/(1x5112)
LCM = 22724990925120/5112
LCM = 4445420760
Thus, we can understand that the LCM of 792,970,142,489,426 is 4445420760.
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FAQs on LCM of 792, 970, 142, 489, 426
1. What is the LCM of 792, 970, 142, 489, 426?
Answer: LCM of 792, 970, 142, 489, 426 is 4445420760.
2. How to calculate the LCM of 792, 970, 142, 489, 426?
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, 970, 142, 489, 426.
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}.