LCM of 792, 856, 526, 150, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 856, 526, 150, 977 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, 856, 526, 150, 977. So, keep reading to learn more.
Given numbers are 792,856,526,150,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,856,526,150,977 is 544376388600.
Find LCM of 792,856,526,150,977 with Prime Factorization
| 2 | 792, 856, 526, 150, 977 |
| 2 | 396, 428, 263, 75, 977 |
| 2 | 198, 214, 263, 75, 977 |
| 3 | 99, 107, 263, 75, 977 |
| 33, 107, 263, 25, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 33 x 107 x 263 x 25 x 977 = 544376388600
Therefore, the lowest common multiple of 792,856,526,150,977 is 544376388600.
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 856 x 526 x 150 x 977 = 52260133305600
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
526 : 1, 2, 263, 526
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,856,526,150,977, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
856:2x 2x 2x 107
526:2x 263
150:2x 3x 5x 5
977:977
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 52260133305600/(1x96)
LCM = 52260133305600/96
LCM = 544376388600
Thus, we can understand that the LCM of 792,856,526,150,977 is 544376388600.
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FAQs on LCM of 792, 856, 526, 150, 977
1. What is the LCM of 792, 856, 526, 150, 977?
Answer: LCM of 792, 856, 526, 150, 977 is 544376388600.
2. How to calculate the LCM of 792, 856, 526, 150, 977?
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, 856, 526, 150, 977.
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}.