Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 181/37, 178/60, 952/672 quickly i.e. 15335768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 181/37, 178/60, 952/672 is 15335768.
LCM(181/37, 178/60, 952/672) = 15335768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 181/37,178/60,952/672
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 181,178,952
Least Common Multiple of Numerators i.e. LCM of 181,178,952 is 15335768.
GCF of Denominators means GCF of 37,60,672 as per the given fractions.
GCF of 37,60,672 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 181,178,952
2 | 181, 178, 952 |
181, 89, 476 |
∴ So the LCM of the given numbers is 2 x 181 x 89 x 476 = 15335768
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 181,178,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,178,952) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(181,178,952) x common factors =1 x 2 = 2
LCM(181,178,952) = ( 181 × 178 × 952 ) / 2
LCM(181,178,952) = 30671536 / 2
LCM(181,178,952) = 15335768
Lets's calculate GCF of 37,60,672
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15335768/1
Therefore the LCM of Fractions 181/37,178/60,952/672 is 15335768
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 37,60,672 . The biggest common factor number is the GCF number.
So the greatest common factor 37,60,672 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 181/37, 178/60, 952/672?
Answer: LCM of Numerators as per given numbers 181/37, 178/60, 952/672 is
LCM of Numerators i.e. for 181,178,952 is 15335768
GCF of denominators i.e. for 37,60,672 is 1.
Thus, LCM of Fractions is 15335768.Finally, LCM of Fractions for 181/37, 178/60, 952/672 is 15335768.