LCM of 770, 851, 748, 348, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 851, 748, 348, 871 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 770, 851, 748, 348, 871. So, keep reading to learn more.
Given numbers are 770,851,748,348,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,851,748,348,871 is 1688249422860.
Find LCM of 770,851,748,348,871 with Prime Factorization
| 2 | 770, 851, 748, 348, 871 |
| 2 | 385, 851, 374, 174, 871 |
| 11 | 385, 851, 187, 87, 871 |
| 35, 851, 17, 87, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 35 x 851 x 17 x 87 x 871 = 1688249422860
Therefore, the lowest common multiple of 770,851,748,348,871 is 1688249422860.
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.
770 x 851 x 748 x 348 x 871 = 148565949211680
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
851 : 1, 23, 37, 851
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,851,748,348,871, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
851:23x 37
748:2x 2x 11x 17
348:2x 2x 3x 29
871:13x 67
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 11 = 88
Therefore, the value for common factors is 88.
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 = 148565949211680/(1x88)
LCM = 148565949211680/88
LCM = 1688249422860
Thus, we can understand that the LCM of 770,851,748,348,871 is 1688249422860.
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FAQs on LCM of 770, 851, 748, 348, 871
1. What is the LCM of 770, 851, 748, 348, 871?
Answer: LCM of 770, 851, 748, 348, 871 is 1688249422860.
2. How to calculate the LCM of 770, 851, 748, 348, 871?
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 770, 851, 748, 348, 871.
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}.