Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/68, 36/55, 145/753 quickly i.e. 245340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/68, 36/55, 145/753 is 245340.
LCM(47/68, 36/55, 145/753) = 245340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/68,36/55,145/753
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 47,36,145
Least Common Multiple of Numerators i.e. LCM of 47,36,145 is 245340.
GCF of Denominators means GCF of 68,55,753 as per the given fractions.
GCF of 68,55,753 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,36,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 245340
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 47,36,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,36,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,36,145) x common factors =1 x 1 = 1
LCM(47,36,145) = ( 47 × 36 × 145 ) / 1
LCM(47,36,145) = 245340 / 1
LCM(47,36,145) = 245340
Lets's calculate GCF of 68,55,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245340/1
Therefore the LCM of Fractions 47/68,36/55,145/753 is 245340
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 68,55,753 . The biggest common factor number is the GCF number.
So the greatest common factor 68,55,753 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 47/68, 36/55, 145/753?
Answer: LCM of Numerators as per given numbers 47/68, 36/55, 145/753 is
LCM of Numerators i.e. for 47,36,145 is 245340
GCF of denominators i.e. for 68,55,753 is 1.
Thus, LCM of Fractions is 245340.Finally, LCM of Fractions for 47/68, 36/55, 145/753 is 245340.