Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/54, 36/141, 31/370 quickly i.e. 1116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/54, 36/141, 31/370 is 1116.
LCM(1/54, 36/141, 31/370) = 1116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/54,36/141,31/370
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 1,36,31
Least Common Multiple of Numerators i.e. LCM of 1,36,31 is 1116.
GCF of Denominators means GCF of 54,141,370 as per the given fractions.
GCF of 54,141,370 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,36,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 1116
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 1,36,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,36,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,36,31) x common factors =1 x 1 = 1
LCM(1,36,31) = ( 1 × 36 × 31 ) / 1
LCM(1,36,31) = 1116 / 1
LCM(1,36,31) = 1116
Lets's calculate GCF of 54,141,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1116/1
Therefore the LCM of Fractions 1/54,36/141,31/370 is 1116
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 54,141,370 . The biggest common factor number is the GCF number.
So the greatest common factor 54,141,370 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 1/54, 36/141, 31/370?
Answer: LCM of Numerators as per given numbers 1/54, 36/141, 31/370 is
LCM of Numerators i.e. for 1,36,31 is 1116
GCF of denominators i.e. for 54,141,370 is 1.
Thus, LCM of Fractions is 1116.Finally, LCM of Fractions for 1/54, 36/141, 31/370 is 1116.