Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/266, 85/110, 672/772 quickly i.e. 257040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/266, 85/110, 672/772 is 257040.
LCM(27/266, 85/110, 672/772) = 257040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/266,85/110,672/772
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 27,85,672
Least Common Multiple of Numerators i.e. LCM of 27,85,672 is 514080.
GCF of Denominators means GCF of 266,110,772 as per the given fractions.
GCF of 266,110,772 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,85,672
3 | 27, 85, 672 |
9, 85, 224 |
∴ So the LCM of the given numbers is 3 x 9 x 85 x 224 = 514080
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 27,85,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,85,672) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,85,672) x common factors =1 x 3 = 3
LCM(27,85,672) = ( 27 × 85 × 672 ) / 3
LCM(27,85,672) = 1542240 / 3
LCM(27,85,672) = 514080
Lets's calculate GCF of 266,110,772
2 | 266, 110, 772 |
133, 55, 386 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514080/2
Therefore the LCM of Fractions 27/266,85/110,672/772 is 257040
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 266,110,772 . The biggest common factor number is the GCF number.
So the greatest common factor 266,110,772 is 2.
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 27/266, 85/110, 672/772?
Answer: LCM of Numerators as per given numbers 27/266, 85/110, 672/772 is
LCM of Numerators i.e. for 27,85,672 is 514080
GCF of denominators i.e. for 266,110,772 is 2.
Thus, LCM of Fractions is 257040.Finally, LCM of Fractions for 27/266, 85/110, 672/772 is 257040.