LCM of 812, 709, 638, 616, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 709, 638, 616, 851 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, 709, 638, 616, 851. So, keep reading to learn more.
Given numbers are 812,709,638,616,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,709,638,616,851 is 10778405176.
Find LCM of 812,709,638,616,851 with Prime Factorization
| 2 | 812, 709, 638, 616, 851 |
| 2 | 406, 709, 319, 308, 851 |
| 7 | 203, 709, 319, 154, 851 |
| 11 | 29, 709, 319, 22, 851 |
| 29 | 29, 709, 29, 2, 851 |
| 1, 709, 1, 2, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 29 x 1 x 709 x 1 x 2 x 851 = 10778405176
Therefore, the lowest common multiple of 812,709,638,616,851 is 10778405176.
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 709 x 638 x 616 x 851 = 192545430064064
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
709 : 1, 709
638 : 1, 2, 11, 22, 29, 58, 319, 638
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,709,638,616,851, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
709:709
638:2x 11x 29
616:2x 2x 2x 7x 11
851:23x 37
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 7x 11x 29 = 17864
Therefore, the value for common factors is 17864.
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 = 192545430064064/(1x17864)
LCM = 192545430064064/17864
LCM = 10778405176
Thus, we can understand that the LCM of 812,709,638,616,851 is 10778405176.
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FAQs on LCM of 812, 709, 638, 616, 851
1. What is the LCM of 812, 709, 638, 616, 851?
Answer: LCM of 812, 709, 638, 616, 851 is 10778405176.
2. How to calculate the LCM of 812, 709, 638, 616, 851?
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, 709, 638, 616, 851.
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}.