Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/202, 887/558, 293/545 quickly i.e. 20791280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/202, 887/558, 293/545 is 20791280.
LCM(80/202, 887/558, 293/545) = 20791280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/202,887/558,293/545
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 80,887,293
Least Common Multiple of Numerators i.e. LCM of 80,887,293 is 20791280.
GCF of Denominators means GCF of 202,558,545 as per the given fractions.
GCF of 202,558,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,887,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 20791280
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 80,887,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,887,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,887,293) x common factors =1 x 1 = 1
LCM(80,887,293) = ( 80 × 887 × 293 ) / 1
LCM(80,887,293) = 20791280 / 1
LCM(80,887,293) = 20791280
Lets's calculate GCF of 202,558,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20791280/1
Therefore the LCM of Fractions 80/202,887/558,293/545 is 20791280
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 202,558,545 . The biggest common factor number is the GCF number.
So the greatest common factor 202,558,545 is 1.
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 80/202, 887/558, 293/545?
Answer: LCM of Numerators as per given numbers 80/202, 887/558, 293/545 is
LCM of Numerators i.e. for 80,887,293 is 20791280
GCF of denominators i.e. for 202,558,545 is 1.
Thus, LCM of Fractions is 20791280.Finally, LCM of Fractions for 80/202, 887/558, 293/545 is 20791280.