Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/545, 637/818, 738/892 quickly i.e. 24915618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/545, 637/818, 738/892 is 24915618.
LCM(53/545, 637/818, 738/892) = 24915618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/545,637/818,738/892
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 53,637,738
Least Common Multiple of Numerators i.e. LCM of 53,637,738 is 24915618.
GCF of Denominators means GCF of 545,818,892 as per the given fractions.
GCF of 545,818,892 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,637,738
Given numbers has no common factors except 1. So, there LCM is their product i.e 24915618
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 53,637,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,637,738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,637,738) x common factors =1 x 1 = 1
LCM(53,637,738) = ( 53 × 637 × 738 ) / 1
LCM(53,637,738) = 24915618 / 1
LCM(53,637,738) = 24915618
Lets's calculate GCF of 545,818,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24915618/1
Therefore the LCM of Fractions 53/545,637/818,738/892 is 24915618
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 545,818,892 . The biggest common factor number is the GCF number.
So the greatest common factor 545,818,892 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 53/545, 637/818, 738/892?
Answer: LCM of Numerators as per given numbers 53/545, 637/818, 738/892 is
LCM of Numerators i.e. for 53,637,738 is 24915618
GCF of denominators i.e. for 545,818,892 is 1.
Thus, LCM of Fractions is 24915618.Finally, LCM of Fractions for 53/545, 637/818, 738/892 is 24915618.