Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/548, 20/270, 743/688 quickly i.e. 676130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/548, 20/270, 743/688 is 676130.
LCM(91/548, 20/270, 743/688) = 676130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/548,20/270,743/688
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 91,20,743
Least Common Multiple of Numerators i.e. LCM of 91,20,743 is 1352260.
GCF of Denominators means GCF of 548,270,688 as per the given fractions.
GCF of 548,270,688 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,20,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 1352260
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 91,20,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,20,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,20,743) x common factors =1 x 1 = 1
LCM(91,20,743) = ( 91 × 20 × 743 ) / 1
LCM(91,20,743) = 1352260 / 1
LCM(91,20,743) = 1352260
Lets's calculate GCF of 548,270,688
2 | 548, 270, 688 |
274, 135, 344 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1352260/2
Therefore the LCM of Fractions 91/548,20/270,743/688 is 676130
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 548,270,688 . The biggest common factor number is the GCF number.
So the greatest common factor 548,270,688 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 91/548, 20/270, 743/688?
Answer: LCM of Numerators as per given numbers 91/548, 20/270, 743/688 is
LCM of Numerators i.e. for 91,20,743 is 1352260
GCF of denominators i.e. for 548,270,688 is 2.
Thus, LCM of Fractions is 676130.Finally, LCM of Fractions for 91/548, 20/270, 743/688 is 676130.