LCM of 807, 766, 115, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 766, 115, 942 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 807, 766, 115, 942. So, keep reading to learn more.
Given numbers are 807,766,115,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,766,115,942 is 11160914910.
Find LCM of 807,766,115,942 with Prime Factorization
| 2 | 807, 766, 115, 942 |
| 3 | 807, 383, 115, 471 |
| 269, 383, 115, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 383 x 115 x 157 = 11160914910
Therefore, the lowest common multiple of 807,766,115,942 is 11160914910.
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.
807 x 766 x 115 x 942 = 66965489460
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.
807 : 1, 3, 269, 807
766 : 1, 2, 383, 766
115 : 1, 5, 23, 115
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,766,115,942, is 1.
Now, the common factors can be found like this.
807:3x 269
766:2x 383
115:5x 23
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 66965489460/(1x6)
LCM = 66965489460/6
LCM = 11160914910
Thus, we can understand that the LCM of 807,766,115,942 is 11160914910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 807, 766, 115, 942
1. What is the LCM of 807, 766, 115, 942?
Answer: LCM of 807, 766, 115, 942 is 11160914910.
2. How to calculate the LCM of 807, 766, 115, 942?
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 807, 766, 115, 942.
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}.