LCM of 812, 162, 674, 895, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 162, 674, 895, 435 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 812, 162, 674, 895, 435. So, keep reading to learn more.
Given numbers are 812,162,674,895,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,162,674,895,435 is 19837821780.
Find LCM of 812,162,674,895,435 with Prime Factorization
| 2 | 812, 162, 674, 895, 435 |
| 3 | 406, 81, 337, 895, 435 |
| 5 | 406, 27, 337, 895, 145 |
| 29 | 406, 27, 337, 179, 29 |
| 14, 27, 337, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 14 x 27 x 337 x 179 x 1 = 19837821780
Therefore, the lowest common multiple of 812,162,674,895,435 is 19837821780.
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.
812 x 162 x 674 x 895 x 435 = 34517809897200
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
674 : 1, 2, 337, 674
895 : 1, 5, 179, 895
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,162,674,895,435, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
162:2x 3x 3x 3x 3
674:2x 337
895:5x 179
435:3x 5x 29
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 3x 5x 29 = 1740
Therefore, the value for common factors is 1740.
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 = 34517809897200/(1x1740)
LCM = 34517809897200/1740
LCM = 19837821780
Thus, we can understand that the LCM of 812,162,674,895,435 is 19837821780.
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FAQs on LCM of 812, 162, 674, 895, 435
1. What is the LCM of 812, 162, 674, 895, 435?
Answer: LCM of 812, 162, 674, 895, 435 is 19837821780.
2. How to calculate the LCM of 812, 162, 674, 895, 435?
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 812, 162, 674, 895, 435.
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}.