LCM of 792, 849, 141, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 849, 141, 987 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, 849, 141, 987. So, keep reading to learn more.
Given numbers are 792,849,141,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,849,141,987 is 73740744.
Find LCM of 792,849,141,987 with Prime Factorization
| 3 | 792, 849, 141, 987 |
| 47 | 264, 283, 47, 329 |
| 264, 283, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 264 x 283 x 1 x 7 = 73740744
Therefore, the lowest common multiple of 792,849,141,987 is 73740744.
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 849 x 141 x 987 = 93577004136
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
849 : 1, 3, 283, 849
141 : 1, 3, 47, 141
987 : 1, 3, 7, 21, 47, 141, 329, 987
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,849,141,987, is 3.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
849:3x 283
141:3x 47
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 47 = 423
Therefore, the value for common factors is 423.
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 = 93577004136/(3x423)
LCM = 93577004136/1269
LCM = 73740744
Thus, we can understand that the LCM of 792,849,141,987 is 73740744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 792, 849, 141, 987
1. What is the LCM of 792, 849, 141, 987?
Answer: LCM of 792, 849, 141, 987 is 73740744.
2. How to calculate the LCM of 792, 849, 141, 987?
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, 849, 141, 987.
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}.