LCM of 766, 209, 342, 462, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 209, 342, 462, 805 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 766, 209, 342, 462, 805. So, keep reading to learn more.
Given numbers are 766,209,342,462,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,209,342,462,805 is 1159881030.
Find LCM of 766,209,342,462,805 with Prime Factorization
| 2 | 766, 209, 342, 462, 805 |
| 3 | 383, 209, 171, 231, 805 |
| 7 | 383, 209, 57, 77, 805 |
| 11 | 383, 209, 57, 11, 115 |
| 19 | 383, 19, 57, 1, 115 |
| 383, 1, 3, 1, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 383 x 1 x 3 x 1 x 115 = 1159881030
Therefore, the lowest common multiple of 766,209,342,462,805 is 1159881030.
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.
766 x 209 x 342 x 462 x 805 = 20362871362680
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.
766 : 1, 2, 383, 766
209 : 1, 11, 19, 209
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,209,342,462,805, is 1.
Now, the common factors can be found like this.
766:2x 383
209:11x 19
342:2x 3x 3x 19
462:2x 3x 7x 11
805:5x 7x 23
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 7x 11x 19 = 17556
Therefore, the value for common factors is 17556.
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 = 20362871362680/(1x17556)
LCM = 20362871362680/17556
LCM = 1159881030
Thus, we can understand that the LCM of 766,209,342,462,805 is 1159881030.
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FAQs on LCM of 766, 209, 342, 462, 805
1. What is the LCM of 766, 209, 342, 462, 805?
Answer: LCM of 766, 209, 342, 462, 805 is 1159881030.
2. How to calculate the LCM of 766, 209, 342, 462, 805?
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 766, 209, 342, 462, 805.
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}.