Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/15, 5/74, 97/55, 56/843 quickly i.e. 27160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/15, 5/74, 97/55, 56/843 is 27160.
LCM(1/15, 5/74, 97/55, 56/843) = 27160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/15,5/74,97/55,56/843
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 1,5,97,56
Least Common Multiple of Numerators i.e. LCM of 1,5,97,56 is 27160.
GCF of Denominators means GCF of 15,74,55,843 as per the given fractions.
GCF of 15,74,55,843 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,5,97,56
Given numbers has no common factors except 1. So, there LCM is their product i.e 27160
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 1,5,97,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,5,97,56) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,5,97,56) x common factors =1 x 1 = 1
LCM(1,5,97,56) = ( 1 × 5 × 97 × 56 ) / 1
LCM(1,5,97,56) = 27160 / 1
LCM(1,5,97,56) = 27160
Lets's calculate GCF of 15,74,55,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27160/1
Therefore the LCM of Fractions 1/15,5/74,97/55,56/843 is 27160
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Greatest Common Factor
We found the factors 15,74,55,843 . The biggest common factor number is the GCF number.
So the greatest common factor 15,74,55,843 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 1/15, 5/74, 97/55, 56/843?
Answer: LCM of Numerators as per given numbers 1/15, 5/74, 97/55, 56/843 is
LCM of Numerators i.e. for 1,5,97,56 is 27160
GCF of denominators i.e. for 15,74,55,843 is 1.
Thus, LCM of Fractions is 27160.Finally, LCM of Fractions for 1/15, 5/74, 97/55, 56/843 is 27160.