Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 738/812, 7137/882 quickly i.e. 585234/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 738/812, 7137/882 is 585234/14.
LCM(738/812, 7137/882) = 585234/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 738/812,7137/882
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 738,7137
Least Common Multiple of Numerators i.e. LCM of 738,7137 is 585234.
GCF of Denominators means GCF of 812,882 as per the given fractions.
GCF of 812,882 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 738,7137
3 | 738, 7137 |
3 | 246, 2379 |
82, 793 |
∴ So the LCM of the given numbers is 3 x 3 x 82 x 793 = 585234
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 738,7137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,7137) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(738,7137) x common factors =9 x 1 = 9
LCM(738,7137) = ( 738 × 7137 ) / 9
LCM(738,7137) = 5267106 / 9
LCM(738,7137) = 585234
Lets's calculate GCF of 812,882
2 | 812, 882 |
7 | 406, 441 |
58, 63 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585234/14
Therefore the LCM of Fractions 738/812,7137/882 is 585234/14
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 812,882 . The biggest common factor number is the GCF number.
So the greatest common factor 812,882 is 14.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 738/812, 7137/882?
Answer: LCM of Numerators as per given numbers 738/812, 7137/882 is
LCM of Numerators i.e. for 738,7137 is 585234
GCF of denominators i.e. for 812,882 is 14.
Thus, LCM of Fractions is 585234/14.Finally, LCM of Fractions for 738/812, 7137/882 is 585234/14.