LCM of 511, 695, 735, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 695, 735, 946 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 511, 695, 735, 946. So, keep reading to learn more.
Given numbers are 511,695,735,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,695,735,946 is 7055310570.
Find LCM of 511,695,735,946 with Prime Factorization
| 5 | 511, 695, 735, 946 |
| 7 | 511, 139, 147, 946 |
| 73, 139, 21, 946 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 73 x 139 x 21 x 946 = 7055310570
Therefore, the lowest common multiple of 511,695,735,946 is 7055310570.
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.
511 x 695 x 735 x 946 = 246935869950
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.
511 : 1, 7, 73, 511
695 : 1, 5, 139, 695
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,695,735,946, is 1.
Now, the common factors can be found like this.
511:7x 73
695:5x 139
735:3x 5x 7x 7
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 246935869950/(1x35)
LCM = 246935869950/35
LCM = 7055310570
Thus, we can understand that the LCM of 511,695,735,946 is 7055310570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 695, 735, 946
1. What is the LCM of 511, 695, 735, 946?
Answer: LCM of 511, 695, 735, 946 is 7055310570.
2. How to calculate the LCM of 511, 695, 735, 946?
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 511, 695, 735, 946.
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}.