LCM of 777, 471, 785, 826, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 471, 785, 826, 994 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 777, 471, 785, 826, 994. So, keep reading to learn more.
Given numbers are 777,471,785,826,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,471,785,826,994 is 5110119210.
Find LCM of 777,471,785,826,994 with Prime Factorization
| 2 | 777, 471, 785, 826, 994 |
| 3 | 777, 471, 785, 413, 497 |
| 7 | 259, 157, 785, 413, 497 |
| 157 | 37, 157, 785, 59, 71 |
| 37, 1, 5, 59, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 157 x 37 x 1 x 5 x 59 x 71 = 5110119210
Therefore, the lowest common multiple of 777,471,785,826,994 is 5110119210.
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.
777 x 471 x 785 x 826 x 994 = 235872882495180
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
471 : 1, 3, 157, 471
785 : 1, 5, 157, 785
826 : 1, 2, 7, 14, 59, 118, 413, 826
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,471,785,826,994, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
471:3x 157
785:5x 157
826:2x 7x 59
994:2x 7x 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 3x 7x 7x 157 = 46158
Therefore, the value for common factors is 46158.
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 = 235872882495180/(1x46158)
LCM = 235872882495180/46158
LCM = 5110119210
Thus, we can understand that the LCM of 777,471,785,826,994 is 5110119210.
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FAQs on LCM of 777, 471, 785, 826, 994
1. What is the LCM of 777, 471, 785, 826, 994?
Answer: LCM of 777, 471, 785, 826, 994 is 5110119210.
2. How to calculate the LCM of 777, 471, 785, 826, 994?
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 777, 471, 785, 826, 994.
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}.