Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/364, 237/931, 905/175 quickly i.e. 2144850/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/364, 237/931, 905/175 is 2144850/7.
LCM(50/364, 237/931, 905/175) = 2144850/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/364,237/931,905/175
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 50,237,905
Least Common Multiple of Numerators i.e. LCM of 50,237,905 is 2144850.
GCF of Denominators means GCF of 364,931,175 as per the given fractions.
GCF of 364,931,175 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,237,905
5 | 50, 237, 905 |
10, 237, 181 |
∴ So the LCM of the given numbers is 5 x 10 x 237 x 181 = 2144850
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 50,237,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,237,905) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(50,237,905) x common factors =1 x 5 = 5
LCM(50,237,905) = ( 50 × 237 × 905 ) / 5
LCM(50,237,905) = 10724250 / 5
LCM(50,237,905) = 2144850
Lets's calculate GCF of 364,931,175
7 | 364, 931, 175 |
52, 133, 25 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2144850/7
Therefore the LCM of Fractions 50/364,237/931,905/175 is 2144850/7
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 364,931,175 . The biggest common factor number is the GCF number.
So the greatest common factor 364,931,175 is 7.
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 50/364, 237/931, 905/175?
Answer: LCM of Numerators as per given numbers 50/364, 237/931, 905/175 is
LCM of Numerators i.e. for 50,237,905 is 2144850
GCF of denominators i.e. for 364,931,175 is 7.
Thus, LCM of Fractions is 2144850/7.Finally, LCM of Fractions for 50/364, 237/931, 905/175 is 2144850/7.